Q.Let $f(x) = \begin{cases} \dfrac{\tan(\pi x)}{x(x-1)} & x \ne 0,1 \ a & x = 0 \ b & x = 1 \end{cases}$ . The values of $a$ and $b$ so that $f$ is continuous everywhere are

a=0, b=\pi

a=-\pi, b=0

a=\pi, b=\pi

a=\pi, b=-\pi

The correct solution involves applying the fundamental concept to derive the final value step by step...

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Q.Let f(x)={tan⁡(πx)x(x−1)x≠0,1 ax=0 bx=1f(x) = \begin{cases} \dfrac{\tan(\pi x)}{x(x-1)} & x \ne 0,1 \ a & x = 0 \ b & x = 1 \end{cases}f(x)={x(x−1)tan(πx)​​x=0,1 a​x=0 b​x=1​. The values of aaa and bbb so that fff is continuous everywhere are