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More functions to limit (Posted on 20200518) 

Functions f:N→R, g:N→R are such that
f(n+1)=f(n)cos(g(n))−g(n)sin(g(n))
g(n+1)=f(n)sin(g(n))+g(n)cos(g(n))
If f(1)=0.8 and g(1)=0.6, find the limit of f(n) as n tends towards infinity.
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