I need help with a limit problem and cannot seem to figure it out for anything! limit [(2x+1)/(2x-3)]^3x as x approaches infinity
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Originally Posted by dmitchell91 I need help with a limit problem and cannot seem to figure it out for anything! limit [(2x+1)/(2x-3)]^3x as x approaches infinity $\displaystyle \lim_{x\to\infty} \left(\frac{2x+1}{2x-3}\right)^{3x}=\lim_{x\to\infty} \left[ \left(1+\frac{4}{2x-3}\right)^{\frac{2x-3}{4}}\right]^{\frac{12x}{2x-3}}=e^6 $
Last edited by mr fantastic; Sep 18th 2009 at 08:23 AM. Reason: Restored original post
thanks a lot!
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