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

Dereon Guzman

Dereon Guzman

Answered question

2022-04-29

Limit limxxx2ln(1+1x)

Answer & Explanation

ritmesysv

ritmesysv

Beginner2022-04-30Added 12 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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