SOLUTION: Please help me with this problem: Evaluate the following limit: Limit of {{{(x + 1)/(e^x)}}} as x approaches infinity.

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Question 1028776: Please help me with this problem:
Evaluate the following limit: Limit of %28x+%2B+1%29%2F%28e%5Ex%29 as x approaches infinity.
Answer by Natolino1983(23) About Me  (Show Source):
You can put this solution on YOUR website!
0 =< (x+1)/e^x =< (x+1)/(x^2 + 1), for all the values of x >= 0
And Limit x approaches to inf (x+1)/(x^2 + 1) = limit (1/x + 1/x^2)/(1 + 1/x^2)
=(0+0)/(1+0) = 0.
So by Boundness Theorem the Limit proposed is also 0.