Homework SoursePlease find evaluate the limit as x approaches infinity limx
Please find evaluate the limit as x approaches infinity lim[x:?,(5x^(3)-4x+7)/(4e^(2x)-4x-1)]
Solution
You would get infinity/infinity so apply L\'Hopital\'s rule giving you: lim(x -> infinity) (15x^(2) - 4)/(8e^(2x) - 4) It will still be infinity/infinity so apply L\'Hopital\'s rule again: lim(x -> infinity) (30x) /(16e^(2x)) It will still be infinity/infinity so apply L\'Hopital\'s rule once more: lim(x->infinity) 30/(32e^(2x) = 0 So the limit is 0![Please find evaluate the limit as x approaches infinity lim[x:?,(5x^(3)-4x+7)/(4e^(2x)-4x-1)]Solution You would get infinity/infinity so apply L\'Hopital\'s rul](/WebImages/42/please-find-evaluate-the-limit-as-x-approaches-infinity-limx-1131040-1761604228-0.webp "Please find evaluate the limit as x approaches infinity lim[x:?,(5x^(3)-4x+7)/(4e^(2x)-4x-1)]Solution You would get infinity/infinity so apply L\'Hopital\'s rul")
