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Find the value of f(0) so that f(x) ...

Find the value of f(0) so that
` f(x) = ((a + x)^(2) sin (a + x) - a^(2) sin a)/(x) ` is continuous at x = 0 .

A

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

B

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

C

`a^(2) sin a - a cosa `

D

`a^(2) sina + a a cosa `

Text Solution

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The correct Answer is:
B
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