# Thread: Someone please show me how to solve this!

1. ## Someone please show me how to solve this!

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

2. 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
$
\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
$

3. thanks a lot!