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We have f (x) lim(n to oo) cos (x)/(2)...

We have
`f (x) lim_(n to oo) cos (x)/(2) cos (x)/(2^(2)) cos (x)/(2^(3)) cos (x)/(2^(4))`……
….`cos (x)/(2^(n)) = ("sin" x)/(2^(n) "sin" (x)/(2^(n)))`
using the identity
`lim_(n to oo) lim_(x to 0)` f(x) equals

A

0

B

1

C

2

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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