Limit \(\displaystyle\lim_{{{x}\rightarrow\infty}}{x}-{x}^{{2}}{\ln{{\left({1}+{\frac{{{1}}}{{{x}}}}\right)}}}\)

nastupnat0hh

nastupnat0hh

Answered question

2022-03-24

Limit limxxx2ln(1+1x)

Answer & Explanation

glikozyd3s68

glikozyd3s68

Beginner2022-03-25Added 16 answers

log(1+y)=yy22+O(y3).
log(1+1x)=x1x22+O(x3).
x2log(1+1x)=x12+O(x1).
x2log(1+1x)x=12+O(x1).
Done!

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