Maths-
General
Easy

Question

L t subscript x not stretchy rightwards arrow 2 end subscript open parentheses fraction numerator square root of 1 minus cos space 2 to the power of blank left parenthesis x minus 2 right parenthesis end root over denominator x minus 2 end fraction close parentheses

  1. e q u a l s space minus space √ 2
  2. e q u a l s space fraction numerator 1 over denominator square root of 2 end fraction
  3. does not exist

  4. e q u a l s space √ 2

hintHint:

In this question, we have to find value of L t subscript x not stretchy rightwards arrow 2 end subscript open parentheses fraction numerator square root of 1 minus cos space 2 to the power of blank left parenthesis x minus 2 right parenthesis end root over denominator x minus 2 end fraction close parentheses.

The correct answer is:

does not exist


    L t subscript x not stretchy rightwards arrow 2 end subscript open parentheses fraction numerator square root of 1 minus cos space 2 to the power of blank left parenthesis x minus 2 right parenthesis end root over denominator x minus 2 end fraction close parentheses
    space W e space k n o w space open parentheses fraction numerator square root of 1 minus cos space x end root over denominator x end fraction close parentheses space equals space minus square root of 2 sin space x over 2 comma space x less than 0 space o r space square root of 2 sin space x to the power of blank over 2 comma space x greater or equal than 0
T h e r e f o r e space L t subscript x rightwards arrow 0 to the power of minus end subscript fraction numerator square root of 1 minus cos squared space left parenthesis x minus 2 end root right parenthesis over denominator x minus 2 end fraction space equals space L t subscript x rightwards arrow 0 to the power of minus end subscript space fraction numerator negative square root of 2 sin space left parenthesis x minus 2 right parenthesis over denominator x minus 2 end fraction space equals space minus square root of 2
space L t subscript x rightwards arrow 0 to the power of plus end subscript fraction numerator square root of 1 minus cos squared space left parenthesis x minus 2 end root right parenthesis over denominator x minus 2 end fraction space equals space L t subscript x rightwards arrow 0 to the power of plus end subscript space fraction numerator square root of 2 sin space left parenthesis x minus 2 right parenthesis over denominator x minus 2 end fraction space equals space square root of 2
sin c e comma space L t subscript x rightwards arrow 0 to the power of minus end subscript fraction numerator square root of 1 minus cos squared space left parenthesis x minus 2 end root right parenthesis over denominator x minus 2 end fraction space i s space n o t space e q u a l space t o space space L t subscript x rightwards arrow 0 to the power of plus end subscript fraction numerator square root of 1 minus cos squared space left parenthesis x minus 2 end root right parenthesis over denominator x minus 2 end fraction.
s o comma space L t subscript x rightwards arrow 0 to the power of blank end subscript fraction numerator square root of 1 minus cos squared space left parenthesis x minus 2 end root right parenthesis over denominator x minus 2 end fraction space d o e s space n o t space e x i s t.

    Related Questions to study

    General
    physics-

    What is the possible value of poison’s ratio?

    What is the possible value of poison’s ratio?

    physics-General
    General
    physics-

    What is the relationship between Young's modulus Y, Bulk modulus k and modulus of rigidity  eta?

    What is the relationship between Young's modulus Y, Bulk modulus k and modulus of rigidity  eta?

    physics-General
    General
    Maths-

    The area of the parallelogram whose adjacent sides are a with minus on top text  and  end text stack b with not stretchy bar on top with blank on top is 2 square root of 10 sq. units. If stack a with minus on top equals 3 stack i with minus on top plus 2 stack j with minus on top plus stack k with minus on top then stack b with minus on top equals

    The area of the parallelogram whose adjacent sides are a with minus on top text  and  end text stack b with not stretchy bar on top with blank on top is 2 square root of 10 sq. units. If stack a with minus on top equals 3 stack i with minus on top plus 2 stack j with minus on top plus stack k with minus on top then stack b with minus on top equals

    Maths-General
    parallel
    General
    physics-

    Shearing stress causes change in

    Shearing stress causes change in

    physics-General
    General
    physics-

    2m long rod of radius 1cm which is fixed from one end is given a twist of 0.8 radian. The shear strain developed will be

    2m long rod of radius 1cm which is fixed from one end is given a twist of 0.8 radian. The shear strain developed will be

    physics-General
    General
    physics-

    Mark the wrong statement.

    Mark the wrong statement.

    physics-General
    parallel
    General
    physics-

    The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of 30° Then what is the angle of shear?

    The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of 30° Then what is the angle of shear?

    physics-General
    General
    Maths-

    The pairs a with bar on top comma b with bar on top text  and  end text stack c with not stretchy bar on top comma d with space bar on top with blank on top each determines a plane. Then the planes are parallel if

    Cross product of two vectors is equal to the product of their magnitudes and sin of the angle between them. When two vectors are parallel, the angle between them is zero resulting their dot product as zero.

    The pairs a with bar on top comma b with bar on top text  and  end text stack c with not stretchy bar on top comma d with space bar on top with blank on top each determines a plane. Then the planes are parallel if

    Maths-General

    Cross product of two vectors is equal to the product of their magnitudes and sin of the angle between them. When two vectors are parallel, the angle between them is zero resulting their dot product as zero.

    General
    physics-

    The lower surface of a cube is fixed. On its upper surface is applied at an angle 30º of  from its surface. What will be the change of the type?

    The lower surface of a cube is fixed. On its upper surface is applied at an angle 30º of  from its surface. What will be the change of the type?

    physics-General
    parallel
    General
    physics-

    For a given material the Young's modulus is 2.4 times that of rigidity modulus. What is its poisons ratio?

    For a given material the Young's modulus is 2.4 times that of rigidity modulus. What is its poisons ratio?

    physics-General
    General
    physics-

    If the volume of a block of aluminum is decreased, by the pressure (stress) on its surface is increased by. (Bulk modulus of open straight A ell equals 7.5 cross times 10 to the power of 11 Nm to the power of negative 2 end exponent close parentheses

    If the volume of a block of aluminum is decreased, by the pressure (stress) on its surface is increased by. (Bulk modulus of open straight A ell equals 7.5 cross times 10 to the power of 11 Nm to the power of negative 2 end exponent close parentheses

    physics-General
    General
    physics-

    The isothermal elasticity of a gas is equal to.

    The isothermal elasticity of a gas is equal to.

    physics-General
    parallel
    General
    physics-

    When a 4 kg makes a hung vertically on a light spring that obeys Hook's law, the spring stretches by  2 cm what will be the work required to be done by an extenal agent in stretching this spring by 5 cm?

    When a 4 kg makes a hung vertically on a light spring that obeys Hook's law, the spring stretches by  2 cm what will be the work required to be done by an extenal agent in stretching this spring by 5 cm?

    physics-General
    General
    physics-

    Equal masses of 3 liquids A, B and C have temperatures 10 to the power of ring operator end exponentC , 25 to the power of ring operator end exponentC and 40 to the power of ring operator end exponentC respectively. If A and B are mixed, the mixture has a temperature of 1 5 to the power of ring operator end exponentC. If B and C are mixed,the mixture has a temperature of 30ºC . If A & C are mixed the temperature of the mixture is

    Equal masses of 3 liquids A, B and C have temperatures 10 to the power of ring operator end exponentC , 25 to the power of ring operator end exponentC and 40 to the power of ring operator end exponentC respectively. If A and B are mixed, the mixture has a temperature of 1 5 to the power of ring operator end exponentC. If B and C are mixed,the mixture has a temperature of 30ºC . If A & C are mixed the temperature of the mixture is

    physics-General
    General
    physics-

    k is the force constant of a spring what will be the work done in increasing its extension form  ell subscript 1 to ell subscript 2 be

    k is the force constant of a spring what will be the work done in increasing its extension form  ell subscript 1 to ell subscript 2 be

    physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.