multiply numerator and denominator by
(1/x)^(3x+1)
Lim ((3+2/x)/(3+4/x))^(3x+1)
so as x>>inf this reduceds to
((3/3)^3x+1) and as x>>inf
= 1
Find the limit as x->infinity of ((3x+2)/(3x+4))^(3x+1)
2 answers
Thank You. This works,and easier I also did it by finding the ln of the expression
(3x+1)[ln(3x-2)-ln(3x+4)]
changed to [ln(3x-2)-ln(3x+4)]/(1/(3x+1)
then used L'Hospital Rule to get lim=0
so since ln y = 0, the e^0=1
(3x+1)[ln(3x-2)-ln(3x+4)]
changed to [ln(3x-2)-ln(3x+4)]/(1/(3x+1)
then used L'Hospital Rule to get lim=0
so since ln y = 0, the e^0=1