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.

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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Q2.

$\lim _{x \rightarrow 2}(x-1)^{\frac{1}{3x-6}} =$

(A)
$e^2$
(B)
$e^3$
(C)
$e^{\frac{1}{3}}$
(D)
$e^{\frac{1}{2}}$
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