A Limit Involving 2sinh - Printable Version

A Limit Involving 2sinh - Printable Version

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A Limit Involving 2sinh - Catullus - 07/17/2022

Please let $[Image: png.image?\dpi%7B110%7D%20f(x)]$ equal $[Image: png.image?\dpi%7B110%7D%20g%5Ex(1)]$ , where $[Image: png.image?\dpi%7B110%7D%20g(x)=2*\sinh(x*\ln2)=2%5Ex-2%5E%7B-x]$ .
Then, what is $[Image: png.image?\dpi%7B110%7D%20\lim_%7Bx\to\infty%7Df...row%20x)-x]$ ?
Isn't the 2sinh function great!?