1
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\mathop {\lim }\limits_{x \to \infty } \left( {\sqrt {{x^2} + 5x - 7} - x} \right) = $$

A
$${7 \over 2}$$
B
5
C
$${5 \over 2}$$
D
6
2
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If f(x) = |x|, for x $$\in$$ ($$-1,2$$), then f is discontinuous at (where [x] represents floor function)

A
x = $$-1,0,1,2$$
B
x = $$-1,0,1$$
C
x = 0, 1
D
x = 2
3
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
4
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 $$x=0$$
MHT CET Subjects
EXAM MAP