Using the -definition of a limit of a sequence, determine whether the sequence {xn} converges and if so, find its limit. xn = 2^n /

Using the ε-definition of a limit of a sequence, determine whether the sequence {xn} converges and if so, find its limit.

xn = 2^n / n!

Hint: Use the ε-definition of a convergent sequence to show that the limit is 0.