For the function f(x)={((x^(3)-a^(3))/(...

For the function `f(x)={((x^(3)-a^(3))/(x-a)",",x ne a),(b" ,",x =a):}`, if f(x) is continuous at x = a, then b is equal to

A

(a) `a^(2)`

B

(b) `2a^(2)`

C

(c) `3a^(2)`

D

(d) `4a^(2)`

Verified by Experts

The correct Answer is:

C

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