$\displaystyle lim_{x\to_\infty} (1+3x-3x^3+5x^5) $

Is there limit ?

if yes , show the limit

if not prove ...

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- Jan 30th 2010, 10:31 AMgilyoslimit problem
$\displaystyle lim_{x\to_\infty} (1+3x-3x^3+5x^5) $

*Is there limit ?*

*if yes , show the limit*

*if not prove ...* - Jan 30th 2010, 11:47 AMrunning-gag
- Jan 30th 2010, 12:28 PMgilyos
This is the right problem

$\displaystyle lim_{x\to_\infty} (1+3x-3x^3+5x^5)^\frac{1}{x^2} $ - Jan 30th 2010, 12:31 PMLord Darkin
In that case, put $\displaystyle e^{ln}$ in front of the expression to bring down the exponent - then put the $\displaystyle x^2$ (which was part of the exponent) in the denominator while the really long term with all the x's is in the numerator and use L'Hopital's rule. Give it a shot. :)