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anonymous
 4 years ago
does anyone know how to sole this limit WITHOUT using L'Hôpital's rule? lim as x > 1 from the right side, the function is 4/cube root of (1x^2)
anonymous
 4 years ago
does anyone know how to sole this limit WITHOUT using L'Hôpital's rule? lim as x > 1 from the right side, the function is 4/cube root of (1x^2)

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Rogue
 4 years ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow 1} \frac {4}{\sqrt[3]{1  x^2}}\]

Rogue
 4 years ago
Best ResponseYou've already chosen the best response.0Does the limit exist first of all?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Hey Rogue, it is a right sided limit, but I think Ackhat may have nailed it. It makes sense that it would go to positive infinity. I think.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thanks for your time Rogue and Ackhat. I greatly appreciate it.

Rogue
 4 years ago
Best ResponseYou've already chosen the best response.0Yeah, it is infinity if approached from the right. However, the over limit does not exist since the right & left limits are not equal. There really isn't any other way of doing this algebraically with out L'Hopital's, although you might be able to see it intuitively.
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