Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

$\lim\limits_{x \rightarrow \infty}\left(\frac{x+6}{x+1}\right)^{x+4}$

Options:

0

1

$e^4$

$e^5$

Correct Answer:

$e^5$

Explanation:

$1^{\infty}$ form, given limit equal to

$e^{\lim\limits_{X \rightarrow 0}(x+4) \frac{5}{x+1}}=e^5$

Hence (4) is the correct answer.