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lim-x-log-e-x-x-h-h-gt-0-

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Question Number 28098 by tawa tawa last updated on 20/Jan/18
lim_(x→∞) ((log_e x)/x^h ) , h > 0
limx→∞logexxh,h>0
Answered by ajfour last updated on 20/Jan/18
=lim_(x→∞) (((1/x))/(hx^(h−1) )) =lim_(x→∞) (1/(hx^h )) =0 .
=limx→∞(1/x)hxh−1=limx→∞1hxh=0.
Commented by tawa tawa last updated on 21/Jan/18
God bless you sir
Godblessyousir

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