A limit

Calculus Level 3

lim x 1 ln [ ( x + 5 ) 2 15 ] x 3 + 1 \large \lim_{x\to-1} \dfrac{ \ln[(x+5)^2 - 15] }{x^3 + 1 }

If the value of the limit above is the form of a b \dfrac ab , where a a and b b are coprime positive integers, find a + b a+b .


The answer is 11.

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1 solution

Andreas Wendler
Mar 4, 2016

Rule of L'Hospital once used delivers the limit 8/3.

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