Prove that sin (n^2) + sin (n^3) is not a convergent

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Prove that [tex]\sin (n^2) + \sin (n^3)[/tex] is not a convergent sequence.
 
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how about just sin(n). that's already interesting. as opposed to sin(pi n) for example.
 
mathwonk said:
how about just sin(n).
I believe that is easier. Consider n=3,31,314,3141,31415,...
 

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