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1
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Which of the following function is not continuous at $x=0$ ?

A
$$\begin{aligned} f(x) & =(1+2 x)^{1 / x}, & & x \neq 0 \\ & =e^2, & & x=0 \end{aligned}$$
B
$$\begin{aligned} f(x) & =\sin x-\cos x, & & x \neq 0 \\ & =-1, & & x=0 \end{aligned}$$
C
$$\begin{array}{rlr} f(x) & =\frac{e^{1 / x}-1}{e^{1 / x}+1}, & x \neq 0 \\ & =-1, & x=0 \end{array}$$
D
$$\begin{array}{rlr} f(x) & =\frac{e^{5 x}-e^{2 x}}{\sin 3 x}, & x \neq 0 \\ & =1, & x=0 \end{array}$$
2
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the function $f(x)=\frac{\log (1+a x)-\log (1-b x)}{x}$ $x \neq 0$ is continuous at $x=0$ then, $f(0)=\ldots \ldots$

A
$\log a-\log b$
B
$a+b$
C
$\log a+\log b$
D
$a-b$
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