1
KCET 2024
MCQ (Single Correct Answer)
+1
-0

The function $f(x)=|\cos x|$ is

A
Everywhere continuous and differentiable
B
Everywhere continuous but not differentiable at odd multiples of $\pi / 2$
C
Neither continuous nor differentiable at $(2 n+1) \frac{\pi}{2}, n \in Z$
D
Not differentiable everywhere
2
KCET 2024
MCQ (Single Correct Answer)
+1
-0

$$\lim _\limits{n \rightarrow \infty}\left(\frac{n}{n^2+1^2}+\frac{n}{n^2+2^2}+\frac{n}{n^2+3^2}+\ldots+\frac{1}{5 n}\right)= $$

A
$\pi / 4$
B
$\tan ^{-1} 3$
C
$\tan ^{-1} 2$
D
$\pi / 2$
3
KCET 2023
MCQ (Single Correct Answer)
+1
-0

If $$\lim _\limits{x \rightarrow 0} \frac{\sin (2+x)-\sin (2-x)}{x}=A \cos B$$, then the values of $$A$$ and $$B$$ respectively are

A
$$1,2$$
B
$$2, 1$$
C
$$1, 1$$
D
$$2,2$$
4
KCET 2023
MCQ (Single Correct Answer)
+1
-0

The function $$f(x)=\cot x$$ is discontinuous on every point of the set

A
$$\{x=2 n \pi ; n \in Z\}$$
B
$$\left\{x=(2 n+1) \frac{\pi}{2} ; n \in Z\right\}$$
C
$$\left\{x=\frac{n \pi}{2} ; n \in Z\right\}$$
D
$$\{x=n \pi ; n \in Z\}$$
KCET 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