limn(ln(n加2)減lnn),中間是自然對數,n趨於無窮 求它的極限 網友廻答:
- lim nln(1 2/n)=lim n*2/n=2
運用等價無窮小ln(1 x)~x (x趨於0)
網友廻答:
- lim n*[ln(n 2)-ln(n)]=lim ln[((n 2)/n)^n]=lim ln (1 (2/n))^n)=ln lim (1 (2/n))^n考慮lim (1 (2/n))^n=lim [(1 (2/n))^(n/2)]^2=[lim (1 (2/n))^(n/2) ]^2根據重要的極限:lim (1 (1/n))^n=e=e^2原極限=ln e^2=2...
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