limx→∞ 1−4x−13x−1 is equal to

$lim_{x \to \infty} {(1 - \frac{4}{x - 1})}^{3 x - 1}$ is equal to

A
$e^{12}$
B
$e^{- 12}$
C
$e^{4}$
D
$e^{3}$

Solution:

We have to find

$lim_{x \to \infty} {(1 - \frac{4}{x - 1})}^{3 x - 1}$

$= lim_{x \to \infty} {(1 + \frac{(- 4)}{x - 1})}^{3 x - 1} = e^{{lim}_{x \to \infty}^{} - 4 \frac{(3 x - 1)}{x - 1}} = e^{- 12}$

Related content

Appreciation Words

Wave Optics Mind Map

Alternating Current Mind Map for Class 12, JEE & NEET

Paramedical Courses After Class 10

Top Courses After 12th Science with PCM, PCB and PCMB

Subject Change Application in School and College

CBSE Class 10 Result 2024: Is the Release Date Early? Check Expected Schedule

Mizoram NEET Merit List 2023

Government Jobs After 12th Arts Stream

Chhattisgarh NEET UG Merit List 2023