The rate of convergence of a sequence

[Drinknderive]

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

2)lim_n->infsin(1/n^2)=0

 

[mathman]

For small x, sin(x) ~ x. Therefore your examples can be analyzed by using 1/n or 1/n².