1
COMEDK 2026 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \mathop {\lim }\limits_{x \to {\pi \over 2}}\left(\frac{1-\sin x}{\cos x}\right) \text { is equal to } $$

A

$1$

B

$-1$

C

$\frac{1}{2}$

D

$0$

2
COMEDK 2026 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

The function $\boldsymbol{f}(\boldsymbol{x})=|\boldsymbol{x}|+|\boldsymbol{x}-\mathbf{1}|$ is:

A

Neither differentiable at $x=0$ nor $x=1$

B

Differentiable at $x=0$ but not at $x=1$

C

Differentiable at $x=1$ but not at $x=0$

D

Differentiable at $x=0$ and $x=1$

3
COMEDK 2026 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $f(x)=\left\{\begin{array}{l}\frac{\sqrt{1+x}-\sqrt{1-x}}{\sin x} \\ \boldsymbol{k}, x=0\end{array}, x \neq 0\right.$ is continuous at $x=0$, then $\boldsymbol{k}=$

A

1

B

$\frac{1}{2}$

C

2

D

0

4
COMEDK 2026 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \mathop {\lim }\limits_{x \to 0} \frac{(1-\cos 2 x)(3+\cos x)}{x \tan 4 x} \text { is equal to: } $$

A

3

B

2

C

4

D

1

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