LIMITS using Lhopital

[MERRVYN]

How to find this limits? Thanks very much.

 

[Deleted member 4993]

How to find this limits? Thanks very much.

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem.

 

[HallsofIvy]

Do you know "L'Hopital's rule"? It should apply here.

 

[pka]

How to find this limits? Thanks very much.

If \(R(x) =\displaystyle \int_1^x {\sqrt {1 + {t^2}} dt} \) then \(R'(x)=\sqrt{1+x^2}\).

 

[joshuaa]

did you get [MATH]\frac{1}{2}[/MATH]?

 

[Steven G]

Hold on please. Before using L'Hopital's rule you need to 1st verify that the integral is going to +/- infinity.
How do you plan on doing that? I would graph the integrand and it should then be obvious.