First slide

Introduction to limits

Question

The value of $lim_{x \to \infty} a^{x} \sin (\frac{b}{a^{x}})$ is $(a > 1)$

Moderate

A

$b \log a$
B

$a \log b$
C

$b$
D

none of these

Solution

We have,
$lim_{x \to \infty} a^{x} \sin (\frac{b}{a^{x}}) = lim_{x \to \infty} \frac{\sin (\frac{b}{a^{x}})}{(\frac{b}{a^{x}})} \cdot b = 1 \cdot b = b$

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