Question

lim for x-> ∞ from [(x+2)*e^(-1/x)] - x = ?
wolfram says it is 1, but when we replace x with ∞ we have ∞ - ∞ , indeterminate form, so how should the expression be changed to avoid this?

Answer 1

\[\lim_{x \rightarrow \infty} (x+2)\times e^{\frac{ -1 }{ x }} - x\] in mathematical terms :D

Answer 2

you may rewrite it as