lim ln1+1n²1n²n→∞
We can use L'Hopital's rule to evaluate this limit:
lim ln(1+1/n²)/(1/n²) n→∞
= lim (2n/(n²+1))/(2/n³) n→∞
= lim (2n³)/(n²+1) * (1/2) n→∞
= lim n³/(n²+1) n→∞
= ∞
Therefore, the limit does not exist.
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