1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next items that follow:
Let $f(x)=\left\{\begin{array}{cc} a x(x+1)+b, & x<1 \\ x-1, & 1 \leq x \leq 2 \end{array}\right.$
What is $\displaystyle \lim _{x \rightarrow 0} $ f(x) equal to ?
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
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 ?
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
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 ?
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next two (02) items that follow
Let f(x) = $\left \{ \begin{matrix} x + 6, x \le 1 \\\ px + q, 1 < x < 2 \\\ 5x , x \ge 2 \end{matrix} \right.$
and f(x) is continuous
What is the value of p ?
Questions Asked from Limit, Continuity and Differentiability (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
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