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- #1

I'm having trouble to evalue the following limit:

\(\displaystyle \lim_{x->\infty} (\frac{x}{1+x^2})^x \)

I "transformed" it into \(\displaystyle e^{ln{(\frac{x}{1+x^2})^x}}\) and tried to solve this limit:

\(\displaystyle \lim_{x->\infty} x ln{(\frac{x}{1+x^2})}\)

But I have no idea how to solve it correctly. Can you help me?

Thank you,

Bueno