How do I calculate the limit of this log function? I've been stuck with calculating the limit of the following problem for a while now. Can you help? lim_(x-> oo) \(sqrt(log(x) + 1))/(log(log(x))) =

Brodie Beck

Brodie Beck

Answered question

2022-09-05

How do I calculate the limit of this log function?
I've been stuck with calculating the limit of the following problem for a while now. Can you help?
lim x log ( x ) + 1 log ( log ( x ) ) =

Answer & Explanation

Iademarco11

Iademarco11

Beginner2022-09-06Added 10 answers

Substitute u = log ( x ). Then, since you get a expression, you can apply L'Hospital's rule:
lim x log ( x ) + 1 log ( log ( x ) ) = lim u u + 1 log ( u ) = lim u u 2 u + 1 =
reemisorgc

reemisorgc

Beginner2022-09-07Added 1 answers

lim x log x + 1 log ( log x ) = lim x 1 2 x log x + 1 1 x log x = lim x log x 2 log x + 1 =

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