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Question Number 76151 by Rio Michael last updated on 24/Dec/19

lim_(x→∞)  x^k e^(−4x) , k>0

limxxke4x,k>0

Commented by kaivan.ahmadi last updated on 24/Dec/19

lim_(x−→∞) (x^k /e^(4x) )=0

limxxke4x=0

Commented by kaivan.ahmadi last updated on 24/Dec/19

by k+1 derivation the x^(k  ) is 0

byk+1derivationthexkis0

Commented by kaivan.ahmadi last updated on 24/Dec/19

lim_(x→∞) (0/(4^(k+1) e^(4x) ))=0

limx04k+1e4x=0

Commented by Rio Michael last updated on 24/Dec/19

thanks

thanks

Commented by mr W last updated on 24/Dec/19

if k is no integer, k+1 th derivation  is not zero.

ifkisnointeger,k+1thderivationisnotzero.

Commented by benjo last updated on 24/Dec/19

yes sir. i agree

yessir.iagree

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