1
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
The function $f(x)=\left\{\begin{array}{l}\frac{|x|}{x}, \text { if } x \neq 0 \\ 0, \text { if } x=0\end{array}\right.$ is discontinuous at
A
$x=0$
B
$x>1$
C
$x>0$
D
$x<0$
2
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
$\lim _\limits{\theta \rightarrow \frac{\pi}{2}} \frac{1-\sin \theta}{\left(\frac{\pi}{2}-\theta\right) \cos \theta}$ is equal to :
A
$-\frac{1}{2}$
B
$-1$
C
$1$
D
$\frac{1}{2}$
3
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
$\lim _\limits{x \rightarrow 1} \frac{(\sqrt{x}-1)(2 x-3)}{2 x^2+x-3}$ is
A
$\frac{1}{10}$
B
0
C
1
D
$-\frac{1}{10}$
4
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
Find the value of $\lim\limits_{h \rightarrow 0} \frac{(a+h)^2 \sin (a+h)-a^2 \sin a}{h}$
A
$-a^2 \sin a$
B
0
C
1
D
$a^2 \cos a+2 a \sin a$
COMEDK Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12