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lim-x-x-k-e-4x-k-gt-0-




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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