Let f: N -> R and g : N -> R be two fun...

Let `f: N -> R and g : N -> R` be two functions and `f(1)=0.8, g(1)=0.6`, `f(n+1)=f(n)cos(g(n))-g(n)sin(g(n)) and g (n+1)=f(n) sin(g(n))+g(n) cos(g(n))` for `n>=1`. `lim_(n->oo) f(n)` is equal to

A

`-1`

B

`0`

C

`1`

D

does not exist

Verified by Experts

The correct Answer is:

A

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