First slide

Introduction to limits

Question

The value of $lim_{x \to \infty} {(\frac{x^{2} + 6}{x^{2} - 6})}^{x}$ is given by

Moderate

A

0
B

1
C

-1
D

none of these

Solution

We have,
$lim_{x \to \infty} {(\frac{x^{2} + 6}{x^{2} - 6})}^{x} = lim_{x \to \infty} {(1 + \frac{12}{x^{2} - 6})}^{x} = e^{lim_{x \to \infty} \frac{12 x}{x^{2} - 6}} = e^{0} = 1$

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