I need to show that the limit of the sequence,
is e-1. What's sad is I have the solution in front of me and I can't understand the simple algebra.
The second factor on the left, how did they get that?
and the rest follows.
Do you understand how the first term and common ratio of the geometric series,
were placed into the formula for summing the series ?
I think I misread your question a little.
It is of course a "series", rather than a sequence.