First slide

Introduction to limits

Question

The value of $lim_{x \to 0} \frac{e^{x} - (1 + x)}{x^{2}}$ , is

Moderate

A

0
B

$1 / 2$
C

2
D

e

Solution

We have,
$lim_{x \to 0} \frac{e^{x} - 1 - x}{x^{2}} = lim_{x \to 0} \frac{e^{x} - 1}{2 x} = \frac{1}{2}$ $[Using L'Hospital's Rule]$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App