Q228 / 270 · NDA 2023 (Phase 1) · Mathematics
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Question:
What is $\lim _{x \rightarrow 0} \frac{f(x)}{x^2}$ equal to?
Question: What is $\lim _{x \rightarrow 0} \frac{f(x)}{x^2}$ equal to?
- Correct answerA$-1$
- B$0$
- C$1$
- D$2$
Solution
$\lim _{x \rightarrow 0} \frac{f(x)}{x^2}$
$=\lim _{x \rightarrow 0} \frac{x^2(\tan x-\cos x)}{x^2}$
$=\lim _{x \rightarrow 0}(\tan x-\cos x)=0-1=-1$
Hence, the correct answer is option: 'A'.