prove that

prove that e^{x}+\sqrt{1+e^{2x}}>(1+x)+\sqrt{2+2x+x^{2}} for x belongs to R(note its â‰¥ not >)

2 Answers

we already know

e^{x}\geq (1+x)

s similarly we have \sqrt{e^{2x}}\geq \sqrt{(1+x)^{2}}

and hence inequality.

equality is at x=0

thanks

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