Hello guys! I can't handle this problem:
n approaches infinity ((3n2 -2n +5)/(3n2 +n+2))^(-n+4)
wolframalpha link: http://www.wolframalpha.com/input/?...+((3n^(2)+-+2n++5))/((3n^(2)+++n++2)))^(-n+4)
Here is what i've done: after substitution we obtain 1 to the negative infinity so i change it to e^(-n+4)ln(((3n2 -2n +5)/(3n2 +n+2))) then i try to solve the limit of the exponent. i write it such that i have [0/0] to use de l'Hospital's rule. In the mean time i split the ln to the difference of logarithms to make differentiation easier and..nothing! Problem becomes more and more complex so i suppose i don't see somthing or i don't know some trick.
I would be very greatful if you helped me with this problem.
Best regards
n approaches infinity ((3n2 -2n +5)/(3n2 +n+2))^(-n+4)
wolframalpha link: http://www.wolframalpha.com/input/?...+((3n^(2)+-+2n++5))/((3n^(2)+++n++2)))^(-n+4)
Here is what i've done: after substitution we obtain 1 to the negative infinity so i change it to e^(-n+4)ln(((3n2 -2n +5)/(3n2 +n+2))) then i try to solve the limit of the exponent. i write it such that i have [0/0] to use de l'Hospital's rule. In the mean time i split the ln to the difference of logarithms to make differentiation easier and..nothing! Problem becomes more and more complex so i suppose i don't see somthing or i don't know some trick.
I would be very greatful if you helped me with this problem.
Best regards
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