TS EAMCET · Maths · Continuity and Differentiability
If the function \(f(x)=\left\{\begin{array}{cc}\frac{\cos c x-\cos 9 x}{x^2}, & \text { if } x \neq 0 \ 16, & \text { if } x=0\end{array}\right.\) is continuous at \(x=0\), then \(a=\)
- A \(\pm 8\)
- B \(\pm 6\)
- C \(\pm 7\)
- D \(\pm 5\)
Answer & Solution
Correct Answer
(C) \(\pm 7\)
Step-by-step Solution
Detailed explanation
\(\lim _{x \rightarrow 0} f(x)=\lim _{x \rightarrow 0} \frac{\cos a x-\cos 9 x}{x^2}\)…
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