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## Homework Statement

How to use Taylor series for condition x>>1? For example [itex]f(x)=x\sqrt{1+x^2}(2x^2/3-1)+\ln{(x+\sqrt{1+x^2})}[/itex]

## Homework Equations

## The Attempt at a Solution

I try to derived it and limit to infinity...for example first term [itex]\frac{x^4}{3\sqrt{1+x^2}}[/itex]. Limit this to infinity is obviously infinity. Any advice?

Thank you.