Maths-

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Easy

Question

In the expansion of $fraction numerator 1 plus x over denominator 1 factorial end fraction plus fraction numerator left parenthesis 1 plus x right parenthesis to the power of 2 end exponent over denominator 2 factorial end fraction plus fraction numerator left parenthesis 1 plus x right parenthesis to the power of 3 end exponent over denominator 3 factorial end fraction plus..... comma$ the coefficient of $x to the power of n end exponent$ will be

$\frac{1}{n!}$
$\frac{1}{n!} + \frac{1}{(n + 1)!}$
$\frac{e}{n!}$
$e [\frac{1}{n!} + \frac{1}{(n + 1)!}]$

The correct answer is: $fraction numerator e over denominator n factorial end fraction$

$fraction numerator 1 plus x over denominator 1 factorial end fraction plus fraction numerator left parenthesis 1 plus x right parenthesis to the power of 2 end exponent over denominator 2 factorial end fraction plus fraction numerator left parenthesis 1 plus x right parenthesis to the power of 3 end exponent over denominator 3 factorial end fraction plus.... infinity$
$equals e to the power of 1 plus x end exponent minus 1 equals e. e to the power of x end exponent minus 1$ $equals negative 1 plus e open curly brackets 1 plus x plus fraction numerator x to the power of 2 end exponent over denominator 2 factorial end fraction plus fraction numerator x to the power of 3 end exponent over denominator 3 factorial end fraction plus.... close curly brackets$
\ The coefficient of $x to the power of n end exponent equals e fraction numerator 1 over denominator n factorial end fraction$ .

The value of $log subscript 3 end subscript invisible function application e minus log subscript 9 end subscript invisible function application e plus log subscript 27 end subscript invisible function application e....$ is equal to

Maths-General

General

Maths-

The sum to infinity of the given series $fraction numerator 1 over denominator n end fraction minus fraction numerator 1 over denominator 2 n to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator 3 n to the power of 3 end exponent end fraction minus fraction numerator 1 over denominator 4 n to the power of 4 end exponent end fraction plus....$ is

Maths-General

General

Maths-

$log subscript a end subscript invisible function application x$ is defined for $left parenthesis a greater than 0 right parenthesis$

Maths-General

General

Maths-

The sum of the series $fraction numerator 1 over denominator 2.3 end fraction plus fraction numerator 1 over denominator 4.5 end fraction plus fraction numerator 1 over denominator 6.7 end fraction plus... equals$

Maths-General

General

Maths-

$fraction numerator 1 over denominator 5 end fraction plus fraction numerator 1 over denominator 2 end fraction. fraction numerator 1 over denominator 5 to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator 3 end fraction. fraction numerator 1 over denominator 5 to the power of 3 end exponent end fraction plus..... infinity equals$

Maths-General

General

Physics-

White light is incident normally on a thin film which has n = 1.5 and a thickness of 5000 Å. For what wavelengths in the visible spectrum (4000 – 7000 Å) will the intensity of the reflected light be a maximum?

Physics-General

General

Biology

The sum of 730 + 450 using front – end estimation is______.

Front-end estimation means rounding off a number to the nearest place value of the leading digit of the number.

The sum of 730 + 450 using front – end estimation is______.

Maths-General

Front-end estimation means rounding off a number to the nearest place value of the leading digit of the number.

General

Maths-Video

Round the number 5432 to the nearest hundred.

For rounding off to the nearest hundred, we can also look at the number formed by the tens place digit and one place digit. If the number formed is less than 50,we round down and if the number is 50 or more we round up.

Round the number 5432 to the nearest hundred.

Maths-General

General

GeneralVideo

Estimate 275 + 238 to nearest hundred.

GeneralGeneral

General

Mathematics

What is the value of 20/100?

MathematicsGeneral

General

Biology

Identify structures A to D –

BiologyGeneral

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In the expansion of the coefficient of will be

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\ The coefficient of .

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White light is incident normally on a thin film which has n = 1.5 and a thickness of 5000 Å. For what wavelengths in the visible spectrum (4000 – 7000 Å) will the intensity of the reflected light be a maximum?

White light is incident normally on a thin film which has n = 1.5 and a thickness of 5000 Å. For what wavelengths in the visible spectrum (4000 – 7000 Å) will the intensity of the reflected light be a maximum?

Which of the following is less general in characters as compared to genus?

Which of the following is less general in characters as compared to genus?

For which of the following motions gravity is not responsible?

For which of the following motions gravity is not responsible?

The velocity-time graph of a uniformly decelerating motion is a ____.

The velocity-time graph of a uniformly decelerating motion is a ____.

Sepia is also known as

Sepia is also known as

The sum of 730 + 450 using front – end estimation is______.

The sum of 730 + 450 using front – end estimation is______.

Round the number 5432 to the nearest hundred.

Round the number 5432 to the nearest hundred.

Estimate 275 + 238 to nearest hundred.

Estimate 275 + 238 to nearest hundred.

What is the value of 20/100?

What is the value of 20/100?

Identify structures A to D –

Identify structures A to D –

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The correct answer is: $fraction numerator e over denominator n factorial end fraction$

The value of $log subscript 3 end subscript invisible function application e minus log subscript 9 end subscript invisible function application e plus log subscript 27 end subscript invisible function application e....$ is equal to

The value of $log subscript 3 end subscript invisible function application e minus log subscript 9 end subscript invisible function application e plus log subscript 27 end subscript invisible function application e....$ is equal to

$log subscript a end subscript invisible function application x$ is defined for $left parenthesis a greater than 0 right parenthesis$

$log subscript a end subscript invisible function application x$ is defined for $left parenthesis a greater than 0 right parenthesis$

The sum of the series $fraction numerator 1 over denominator 2.3 end fraction plus fraction numerator 1 over denominator 4.5 end fraction plus fraction numerator 1 over denominator 6.7 end fraction plus... equals$

The sum of the series $fraction numerator 1 over denominator 2.3 end fraction plus fraction numerator 1 over denominator 4.5 end fraction plus fraction numerator 1 over denominator 6.7 end fraction plus... equals$