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 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
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