MHT-CET

15. Limits, Continuity & Differentiability question bank (Mathematics)

Practice 103 free MHT-CET Mathematics - 15. Limits, Continuity & Differentiability questions with answers and step-by-step solutions.

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Q1.

Evaluate the limit: $\lim_{x \to 0} \left[ \frac{\log |2 + x| - \log |2 - x|}{\tan x} \right]$

(A)

$2$

(B)

$0$

(C)

$1$

(D)

$1/2$

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Q2.

If $f(a)=2, f^{\prime}(a)=1, g(a)=-1, g^{\prime}(a)=2$,then as $x$ approaches $a$,the limit of $\frac{g(x) f(a)-g(a) f(x)}{x-a}$ is

(A)

$3$

(B)

$5$

(C)

$0$

(D)

$2$

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