SOLUTION: Okay, so I have looked for a calculus tutor online and I have a test on my homework veryy soon. I really need help. Its a La Hospital's Rule...
the problem is....
lim
Algebra ->
Finite-and-infinite-sets
-> SOLUTION: Okay, so I have looked for a calculus tutor online and I have a test on my homework veryy soon. I really need help. Its a La Hospital's Rule...
the problem is....
lim
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Question 170695: Okay, so I have looked for a calculus tutor online and I have a test on my homework veryy soon. I really need help. Its a La Hospital's Rule...
the problem is....
lim [ln(x)]^3/x^2
x->infinity
I can't make an arrow for "approaches" easy using
the software here, so please interpret
as though it were → .
=
We need to get that exponent 3 outside the limit.
First get it outside the parentheses:
=
Then get it outside the limit:
=
Now with that 3 exponent outside the limit, we can use
l'Hopital's rule on the inside without it:
=
Multiply numerator and denominator both by =
Edwin