Processing math: 100%

Home / Aptitude Tests / Mathematics / If \(e^{x} = 1 + x +...

If \(e^{x} = 1 + x + \frac{x^{2}}{1.2} + \frac{x^{3}}{1.2.3}...

If $e^{x} = 1 + x + \frac{x^{2}}{1.2} + \frac{x^{3}}{1.2.3} + ...$ , find $\frac{1}{e^{\frac{1}{2}}}$

A.

1 - $\frac{x}{2}$ + $\frac{x^2}{1.2^3}$ + $\frac{x^3}{2^4.3}$ + .........

B.

1 - $\frac{x}{2}$ + $\frac{x^2}{1.2^3}$ + $\frac{x^4}{2.4.3}$ + ..

C.

1 + $\frac{x}{2}$ + $\frac{x^2}{1.2}$ + $\frac{x^3}{1.2.3}$ + $\frac{x^4}{1.23.4}$ + .........

D.

1 - x + $\frac{x^2}{1.2^3}$ + $\frac{x^3}{2^4.3}$ + .........

E.

1 + $\frac{x}{2}$ + $\frac{x^2}{1.2^3}$ + $\frac{x^4}{1.2.6}$ + .........

View answer & explanation

Correct answer is C

$e^{x} = 1 + x + \frac{x^{2}}{1.2} + \frac{x^{3}}{1.2.3} + ...$

$\frac{1}{e^{\frac{1}{2}}} = e^{-\frac{1}{2}}$

$e^{-\frac{1}{2}} = 1 - \frac{x}{2} + \frac{x^{2}}{1.2^{3}} - \frac{x^{3}}{1.2^{4}.3} + ...$

See all Mathematics questions & answers

See more JAMB questions & answers

Similar Questions

Simplify $\sqrt[3]{(64r^{-6})^{\frac{1}{2}}}$ ...

The histogram above represents the number of candidates who did Further Mathematics examination in a...

Find the positive value of x if the standard deviation of the numbers 1, x + 1, 2x + 1 is 6 ...

If 9x2 + 6xy + 4y2 is a factor of 27x3 - 8y3, find the other factor. ...

If the mean of five consecutive integers is 30, find the largest of the numbers ...

Evaluate $(20_{three})^2 - (11_{three})^2$ in base three...

Find the value of y, if log (y + 8) + log (y - 8) = 2log 3 + 2log 5 ...

Simplify $\sqrt{6a} \times \sqrt{576a^6}$ ...

If 2 log x (3 $\frac{3}{8}$ ) = 6, find the value of x...

Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9...

Aptitude Tests

Situational Judgement Questions and Answers

Spatial Reasoning Questions and Answers

Numerical Reasoning Questions and Answers

Nigeria General Knowledge Questions and Answers

Verbal Reasoning Questions and Answers

Quantitative Reasoning Questions and Answers

Abstract Reasoning Questions and Answers

Typing Speed and Accuracy Test

Logical Reasoning Questions and Answers

Data Interpretation Questions and Answers

Microsoft Office Questions and Answers

Puzzles Questions and Answers

Personality Test

View latest jobs in Nigeria today