Question

limit x tends to 1 ( 2x - 1) ^ 3X/X-1

Answer 1

Step-by-step explanation:

We have,

$\huge\lim_{x \rarr1} (2x - 1)^{ \frac{3x}{x - 1} }$

$= \: \huge\lim_{x \rarr1} {e}^{ (2x - 1 - 1){ \frac{3x}{x - 1} }}$

$= \: \huge\lim_{x \rarr1} {e}^{ \frac{3x(2x - 2)}{x - 1} }$

$= \: \huge\lim_{x \rarr1} {e}^{ \frac{2.3x(x - 1)}{x - 1} }$

$= \: \huge\lim_{x \rarr1} {e}^{ 6x }$

$= \: \huge {e}^{ 6 }$