1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If f(x) = ln (x + $\sqrt{1+\text{x}^2}$), then which one of the following is correct ?
A
f(x) + f(−x) = 0
B
f(x)−f(−x) = 0
C
2f(x) = f(−x)
D
f(x) = 2f(−x)
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\displaystyle\lim_{x \rightarrow 0} \frac{x}{\sqrt{1−\cos 4x}}$ equal to ?
A
$\frac{1}{2\sqrt{2}}$
B
$−\frac{1}{2\sqrt{2}}$
C
$\sqrt{2}$
D
Limit does not exist
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\displaystyle\lim_{x\rightarrow \frac{\pi}{2}} \frac{4x−2\pi}{\cos x}$ equal to ?
A
−4
B
−2
C
2
D
4
4
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
EXAM MAP