SOLUTION: Please help me with this problem:
Evaluate the following limit: Limit of {{{(x + 1)/(e^x)}}} as x approaches infinity.
Algebra.Com
Question 1028776: Please help me with this problem:
Evaluate the following limit: Limit of as x approaches infinity.
Answer by Natolino1983(23) (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.
RELATED QUESTIONS
I need help with this problem too:
Evaluate the following limit:
The limit of {{{sin(x (answered by ikleyn,rothauserc)
Please help me on this problem. Thanks.
Find the limit of f(x)= 1/x-3 as x approaches 3. (answered by Fombitz)
Evaluate using limit laws:
Limit (as x approaches negative infinity) (x/sqrt(x^2-1))
(answered by math_tutor2020)
as x approaches infinity
find the limit of
e^ (x-... (answered by stanbon)
Provide an example of functions f(x) and g(x) with the limit as x approaches infinity of... (answered by richard1234)
Evaluate limit (as x approaches negative infinity)... (answered by ikleyn)
Use the Squeeze Theorem to evaluate the limit as x approaches infinity (sinx)/x
(answered by Fombitz)
as x approaches 1
find the limit of... (answered by stanbon)
limit of e^x/x as x approaches... (answered by MathLover1)