MHT-CET

Limits question bank (Mathematics)

Practice 110 free MHT-CET Mathematics - Limits questions with answers and step-by-step solutions.

Q1.

$\lim _{x \rightarrow 1}(\log e x)^{1 / \log x}$ is equal to

(A)
$e^{-1}$
(B)
$e$
(C)
$e^{2}$
(D)
0
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Q2.

If $f(x)=\sqrt{\frac{x-\sin x}{x+\cos ^{2} x}}$, then $\lim _{x \rightarrow \infty} f(x)$ is

(A)
0
(B)
$\alpha$
(C)
1
(D)
None of these
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