Q. 14

Find the value of

Answer :

If f is a real function on a subset of the real numbers and c be a point in the domain of f, then f is continuous at c if lim_x_→_c f(x)=f(c).

Since the function is continuous at x=0

LHL = RHL

LHL:

= a× 1

= a

RHL:

∵ cos 2x = 1 – 2 sin²x

= 1/2

Hence the value of a is .

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