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## Homework Statement

Evaluate the limit of the following as x approaches infinity

[tex]\frac{e^{x}-1}{1-2e^{x}+2e^{2x}}[/tex]

## Homework Equations

## The Attempt at a Solution

[tex]\frac{e^{-x}-e^{-2x}}{e^{-2x}-2e^{-x}+2}[/tex]

which gives 0/2=0 as x approaches infinity, but apparently this is wrong.