If f(x)= c x^3-a^3 x-a , x a b, x=a ., is continuous at x=a then … - Vidyadip

Question

If $f(x)=\left\{\begin{array}{c}\frac{x^3-a^3}{x-a}, x \neq a \\ b, x=a\end{array}\right.$, is continuous at $x=a$ then $b=$ _________ .

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Answer

$3 a^2$

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