Monday, July 23, 2018

limits - Evaluating limntoinftynleft(ln(n+2)lnnright)




I am trying to findlim
But I can't figure out any good way to solve this.
Is there a special theorem or method to solve such limits?


Answer



Why not elementary? n(\ln(n+2)-\ln n)=\ln(\frac{n+2}{n})^n=\ln(1+\frac{2}{n})^n \to \ln e^2=2


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