The rate of convergence of a sequence

Drinknderive
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It's been a while since I've done rate of convergence problems,
how would i find the rate of convergence for either of these sequences?

1) limn->infsin(1/n)=0

2)limn->infsin(1/n^2)=0
 
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For small x, sin(x) ~ x. Therefore your examples can be analyzed by using 1/n or 1/n2.
 

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