
Jonathan T. answered 02/23/24
10+ Years of Experience from Hundreds of Colleges and Universities!
To write out the first four terms, you just plug n=1,2,3,4 in.
To take the limit, you can reference the formula for e^a = limit to infinity (1 + a/n)^n.
For your case, a = -3.
Therefore, the limit is simply e^(-3).
If you need to prove it, you need to use L'Hospital's Rule, which I don't beleive you are at yet. Thus, use the formula and memorize it for exams.
The Math Pimp