1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
$$\mathop {\lim }\limits_{x \to 0} {{1 - {{\cos }^3}4x} \over {{x^2}}}$$ is equal to
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The value of k which makes $$f(x) = \left\{ {\matrix{
{\sin x,} & {x \ne 0} \cr
{k,} & {x = 0} \cr
} } \right.$$ continuous at x = 0, is
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
For the following two (02) items:
Let
$f(x)=\begin{cases}\frac{1-\cos 2x}{x^{2}}&,x<0\\ 9&,x=0\\ \frac{\sqrt{x}}{\sqrt{(16+\sqrt{x})}-4}&,x>0\end{cases}$
Let
$f(x)=\begin{cases}\frac{1-\cos 2x}{x^{2}}&,x<0\\ 9&,x=0\\ \frac{\sqrt{x}}{\sqrt{(16+\sqrt{x})}-4}&,x>0\end{cases}$
What is $\lim _{x\rightarrow 0^{-}}f(x)$ equal to?
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
For the following two (02) items:
Let
$f(x)=\begin{cases}\frac{1-\cos 2x}{x^{2}}&,x<0\\ 9&,x=0\\ \frac{\sqrt{x}}{\sqrt{(16+\sqrt{x})}-4}&,x>0\end{cases}$
Let
$f(x)=\begin{cases}\frac{1-\cos 2x}{x^{2}}&,x<0\\ 9&,x=0\\ \frac{\sqrt{x}}{\sqrt{(16+\sqrt{x})}-4}&,x>0\end{cases}$
What is $\lim _{x\rightarrow 0^{-}}f(x)$ equal to?
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