If $f(x)= \begin{cases}\frac{\cos a x-\cos b x}{x^2}, & x
eq 0 \ \frac{1}{2}\left(a^2-b^2 ight) & , x=0\end{cases}$ where $a, b$ are real and district constants, then

Question

If $f(x)= \begin{cases}\frac{\cos a x-\cos b x}{x^2}, & x 
eq 0 \ \frac{1}{2}\left(a^2-b^2ight) & , x=0\end{cases}$ where $a, b$ are real and district constants, then

Aicharya · Accepted Answer

No solution. Refer to answer key.

If $f(x)= \begin{cases}\frac{\cos a x-\cos b x}{x^2}, & x \neq 0 \\ \frac{1}{2}\left(a^2-b^2\right) & ,…

Solution