1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next three (03) items that follow :

Let f(x) = $\left|\begin{array}{ccc} \cos x & x & 1 \\ 2 \sin x & x^2 & 2 x \\ \tan x & x & 1 \end{array}\right|$

What is $\lim _{x \rightarrow 0} \frac{f(x)}{x}$ equal to ? 
A
-1
B
0
C
1
D
2
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next three (03) items that follow :

Let f(x) = $\left|\begin{array}{ccc} \cos x & x & 1 \\ 2 \sin x & x^2 & 2 x \\ \tan x & x & 1 \end{array}\right|$

What is $\lim _{x \rightarrow 0} \frac{f(x)}{x^2}$ equal to ? 
A
-1
B
0
C
1
D
2
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Let f(x) = sin[π2]x + cos[-π2]x where [.] is a greatest ‘integer function

What is $f\left(\frac{\pi}{2}\right)$ equal to ?
A
-1
B
0
C
1
D
2
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Let f(x) = sin[π2]x + cos[-π2]x where [.] is a greatest ‘integer function

What is $f\left(\frac{\pi}{4}\right)$ equal to ? 
A
$- \frac{1}{\sqrt 2}$
B
-1
C
1
D
$ \frac{1}{\sqrt 2}$
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