How do you use the convergence tests, determine whether the given series converges #sum (7-sin(n^2))/n^2+1# from n to infinity?
If the general term is with the
The function sinus has a range
Since the function
First do the limit test for convergence, and check the limit, as the limit needs to equal 0 for a series to be considered convergent, if the limit is not 0, it is then divergent.
Therefore we can conclude that the series does not converge, and therefore is Divergent.