Quote (tonybarb @ Sep 25 2016 06:13pm)
Here's one of em
http://i.imgur.com/0EVuVSH.png
To solve this limit, you need to recall a neat property:
A^3 - B^3 = (A-B)(A^(2)+AB+B^2) and note that x-1 = (x^(1/3)^3 - (1)^3 .
Using this property, we simplify the limit expression, rewriting the numerator as (x^(1/3) - 1) * [(x^(1/3))^2 + (x^(1/3))*1 + (1)^2].
After some work, the expression will ultimately simplify to:
lim [1/(1+x^(1/3)+x^(2/3))], which is no longer in an indeterminate form and is an easy limit to evaluate.
x--> 1
If you want to offer FG, you can send it to him since I clearly have no use for it:
http://forums.d2jsp.org/user.php?i=863241