1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If f(x) = $\frac{x^2+x+|x|}{x}$, then what is $\displaystyle\lim_{x \rightarrow 0}$ f(x) equal to ?
A
0
B
1
C
2
D
$​\displaystyle\lim_{x \rightarrow 0}$ f(x) does not exist
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\displaystyle\lim_{h \rightarrow 0} \frac{\sin^2(x+h)−\sin^2x}{h}$ equal to ?
A
sin2 x
B
cos2 x
C
sin 2x
D
cos 2x
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let y = [x + 1], -4 < x < -3 where [.] is the greatest integer function. What is the derivative of y with respect to x at x = -3.5?
A
-4
B
-3.5
C
-3
D
0
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\lim\limits_{x \to 0}x^3(\text{cosec} \ x)^2$ equal to ?
A
0
B
$\frac{1}{2}$
C
1
D
Limits does not exist
EXAM MAP