\lim_{x \to \infty} (1+ \frac{2}{2x-1})^{1-3x} " alt=" \lim_{x \to \infty} ( \frac{2x-1}{2x+1})^{3x-1}==> \lim_{x \to \infty} (1+ \frac{2}{2x-1})^{1-3x} " align="absmiddle" class="latex-formula">
e^{ \lim_{x \to \infty} ( \frac{2-6x}{2x-1})}=>e^{-3} " alt=" \lim_{x \to \infty} ((1+ \frac{1}{ \frac{2x-1}{2} })^{ \frac{2x-1}{2}})^{ \frac{2-6x}{2x-1}}=>e^{ \lim_{x \to \infty} ( \frac{2-6x}{2x-1})}=>e^{-3} " align="absmiddle" class="latex-formula">