Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

$Lt subscript x not stretchy rightwards arrow 1 end subscript invisible function application fraction numerator cube root of x minus 1 over denominator x minus 1 end fraction$

$\frac{2}{3}$
$\frac{3}{2}$
$\frac{1}{3}$
$\frac{1}{2}$

The correct answer is: $2 over 3$

$limit as x rightwards arrow 1 of fraction numerator cube root of x minus 1 over denominator x minus 1 end fraction equals limit as x rightwards arrow 1 of fraction numerator cube root of x minus cube root of 1 over denominator open parentheses cube root of x close parentheses cubed minus open parentheses cube root of 1 close parentheses cubed end fraction equals limit as x rightwards arrow 1 of fraction numerator cube root of x minus cube root of 1 over denominator open parentheses cube root of x minus cube root of 1 close parentheses open parentheses open parentheses x close parentheses to the power of begin display style 2 over 3 end style end exponent plus open parentheses x close parentheses to the power of begin display style 1 third end style end exponent plus 1 close parentheses end fraction equals limit as x rightwards arrow 1 of open parentheses fraction numerator 1 over denominator open parentheses open parentheses x close parentheses to the power of 2 over 3 end exponent plus open parentheses x close parentheses to the power of 1 third end exponent plus 1 close parentheses end fraction close parentheses equals fraction numerator 1 over denominator 1 plus 1 plus 1 end fraction equals 1 third$

Related Questions to study

$L subscript x not stretchy rightwards arrow 0 end subscript fraction numerator 3 to the power of t minus 1 over denominator square root of 1 plus x end root minus 1 end fraction$

$L subscript x not stretchy rightwards arrow 0 end subscript fraction numerator 3 to the power of t minus 1 over denominator square root of 1 plus x end root minus 1 end fraction$

$Lt subscript x not stretchy rightwards arrow 2 end subscript invisible function application fraction numerator open parentheses 2 x squared minus 7 x minus 4 close parentheses over denominator left parenthesis 2 x minus 1 right parenthesis left parenthesis square root of x minus 2 right parenthesis end fraction$

$Lt subscript x not stretchy rightwards arrow 2 end subscript invisible function application fraction numerator open parentheses 2 x squared minus 7 x minus 4 close parentheses over denominator left parenthesis 2 x minus 1 right parenthesis left parenthesis square root of x minus 2 right parenthesis end fraction$

$Lt subscript x not stretchy rightwards arrow 0 end subscript fraction numerator cos a x minus cos b x over denominator x squared end fraction$

$Lt subscript x not stretchy rightwards arrow 0 end subscript fraction numerator cos a x minus cos b x over denominator x squared end fraction$

parallel

The diameter of the condenser plate is 4cm. It is charged by an external current of 0.2A. The maximum magnetic field induced in the ga

The diameter of the condenser plate is 4cm. It is charged by an external current of 0.2A. The maximum magnetic field induced in the ga

physics-General

The capacity of a parallel plate condenser is 50 pF A magnetic field of $4 cross times 10 to the power of negative 7 end exponent$ T is produced at a distance of 10cm from the axis of the gap. The charging current is

The capacity of a parallel plate condenser is 50 pF A magnetic field of $4 cross times 10 to the power of negative 7 end exponent$ T is produced at a distance of 10cm from the axis of the gap. The charging current is

physics-General

An AC source having a frequency of 50 Hz and voltage supply of 300v is applied directly to the condenser of capacity 100mF The peak and rms values of displacement current are

An AC source having a frequency of 50 Hz and voltage supply of 300v is applied directly to the condenser of capacity 100mF The peak and rms values of displacement current are

physics-General

parallel

A condenser having circular plates having radius 2cm and separated by a distance of 3mm. It is charged with a current of 0.1 A The rate at which the potential difference between the plates change is

A condenser having circular plates having radius 2cm and separated by a distance of 3mm. It is charged with a current of 0.1 A The rate at which the potential difference between the plates change is

physics-General

The area of each plate of a parallel plated condenser is 144cm² The electrical field in the gap between the plates changes at the rate of $10 to the power of 12 end exponent V m to the power of negative 1 end exponent S to the power of negative 1 end exponent$ The displacement current is

The area of each plate of a parallel plated condenser is 144cm² The electrical field in the gap between the plates changes at the rate of $10 to the power of 12 end exponent V m to the power of negative 1 end exponent S to the power of negative 1 end exponent$ The displacement current is

physics-General

A laser beam can be focussed on an area equal to the square of its wavelength. A He-Ne laser radiates energy at the rate of 1mW and its wavelength is 600 nm The intensity of focussed beam will be

A laser beam can be focussed on an area equal to the square of its wavelength. A He-Ne laser radiates energy at the rate of 1mW and its wavelength is 600 nm The intensity of focussed beam will be

physics-General

parallel

An electromagnetic radiation has an energy 14.4 KeV. To which region of electromagnetic spectrum does it belong?

An electromagnetic radiation has an energy 14.4 KeV. To which region of electromagnetic spectrum does it belong?

physics-General

A point source of electromagnetic radiation has an average power output of 800W. The maximum value of electric field at a distance 3.5 m from the source will be 62.6 V/m, the energy density at a distance 3.5 m from the source will be - (in joule/m³)

A point source of electromagnetic radiation has an average power output of 800W. The maximum value of electric field at a distance 3.5 m from the source will be 62.6 V/m, the energy density at a distance 3.5 m from the source will be - (in joule/m³)

physics-General

In the above question the radiation force on the mirror will be

In the above question the radiation force on the mirror will be

physics-General

parallel

A plane electromagnetic wave of wave intensity 6W/m² stikes a small mirror of area 40cm² , held perpendicular to the approaching wave. The momentum transferred by the wave to the mirror each second will be

A plane electromagnetic wave of wave intensity 6W/m² stikes a small mirror of area 40cm² , held perpendicular to the approaching wave. The momentum transferred by the wave to the mirror each second will be

physics-General

The magnetic field in travelling EM wave has a peak value of 20nT. The peak value of electric field strength is.

The magnetic field in travelling EM wave has a peak value of 20nT. The peak value of electric field strength is.

physics-General

A wave is propagating in a medium of dielectric constant 2 and relative permeability 50. The wave impedance is

A wave is propagating in a medium of dielectric constant 2 and relative permeability 50. The wave impedance is

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.