If f(x) = ((a+x)^(2)sin(a+x)-a^(2)sin a)...

If `f(x) = ((a+x)^(2)sin(a+x)-a^(2)sin a)/(x) , x !=0`, then the value of f(0) so that f is continuous at x = 0 is

A

(a) `a^(2)cos a + a sin a`

B

(b) `a^(2)cos a + 2a sin a`

C

(c) `2a^(2)cos a + a sin a`

D

(d) `2a^(2)cos a + 2a sin a`

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The correct Answer is:

B

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