AP EAMCET · Maths · Limits
\(\lim _{x \rightarrow 0} \frac{1-\cos x}{x^2}=\)
- A 0
- B –1
- C \(\frac{1}{2}\)
- D 1
Answer & Solution
Correct Answer
(C) \(\frac{1}{2}\)
Step-by-step Solution
Detailed explanation
\( \lim _{x \rightarrow 0} \frac{1-\cos x}{x^2} = \lim _{x \rightarrow 0} \frac{\sin x}{2x} \) \( = \lim _{x \rightarrow 0} \frac{\cos x}{2} \) \( = \frac{1}{2} \)
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