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## Homework Statement

Show that the Lim x=> inf. R(x)/x^2 exists and find its value.

## Homework Equations

R(x)= [tex]\int^{x}_{0}[/tex] [tex]\sqrt{1+t^{2}}[/tex]

## The Attempt at a Solution

I know that the limit is 1/2 however i got that by just evaluating at large values of x. How would I go about solving this analytically? Thanks for the help

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