If satisfies the equation _ x ( x+c x-c )^x=4

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

c

satisfies the equation

\lim_{x\to\infty}\left(\frac{x+c}{x-c}\right)^x=4,

then

\left[\frac{e^c}{2}\right]

\ldots\ldots