Thread: converges to zero prove

I would appreciate some help with the following.
For each of the following sequences state whether it converges to zero, and prove your answer. [A strategy is acceptable as a proof. proofs based on results from Calculus I or II are not acceptable.]
a). a) x_n from n=1 to infinity, given by x_n=1/n! for all n.

Originally Posted by charikaar

I would appreciate some help with the following.
For each of the following sequences state whether it converges to zero, and prove your answer. [A strategy is acceptable as a proof. proofs based on results from Calculus I or II are not acceptable.]
a). a) x_n from n=1 to infinity, given by x_n=1/n! for all n.

Use the fact that for so .