1
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $f(x)=\frac{1-\sin x+\cos x}{1+\sin x+\cos x}$, for $x \neq \pi$ is continuous at $x=\pi$, then $f(\pi)=$

A
1
B
$-$1
C
0
D
2
2
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=\frac{|x|}{x}$$, for $$x \neq 0$$ $$=1$$, for $$x=0$$, then tre function is

A
differentiable but not continuous at $$x=0$$
B
continuous and differentiable at $$x=0$$
C
neither continuous nor differentiable at $$x=0$$
D
continuous but not differentiable at $$x=0$$
3
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The function $$f(x)=\frac{x+1}{9 x+x^3}$$ is

A
discontinuous at exactly two points
B
discontinuous at exactly one point
C
continuous for all real values of $$x$$
D
discontinuous at exactly three points
4
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

The points of discontinuity of the function

$$\begin{aligned} f(x) & =\frac{1}{x-1}, \text { if } 0 \leq x \leq 2 \\ & =\frac{x+5}{x+3} \text { if } 2< x \leq 4 \end{aligned}$$

in its domain are

A
$$x=1, x=2$$
B
$$x=0, x=2$$
C
$$x=2$$ only
D
$$x=4$$ only
MHT CET Subjects
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