TS EAMCET · Maths · Limits
\[ \lim _{x \rightarrow 0}\left(\frac{4 !}{x^8}\left(1-\cos \frac{x^2}{3}-\cos \frac{x^2}{4}+\cos \frac{x^2}{3} \cos \frac{x^2}{4}\right)\right)= \]
- A 8
- B \(\frac{1}{6}\)
- C \(\frac{1}{24}\)
- D \(\frac{2}{3}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{24}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \lim _{x \rightarrow 0}\left(\frac{4 !}{x^8}\left(1-\cos \frac{x^2}{3}-\cos \frac{x^2}{4}+\cos \frac{x^2}{3} \cos \frac{x^2}{4}\right)\right) \\ & \lim _{x \rightarrow 0}\left(\frac{4 !}{x^8}\left(1-\cos \frac{x^2}{3}\right)\left(1-\cos…
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