Solution Formulas Videos Final Answer $\left(-1+e^{\frac{1}{z}}\right)z$ Got another answer? Verify it here! Step-by-step Solution Specify the solving method Choose an optionLimits by Direct SubstitutionLimits by L'Hôpital's ruleLimits by FactoringLimits by RationalizingSuggest another method or feature Send 1 Divide fractions $\frac{-1+e^{\frac{1}{z}}}{\frac{1}{z}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$ $\lim_{x\to\infty }\left(\left(-1+e^{\frac{1}{z}}\right)z\right)$ 2 The limit of a constant is just the constant $\left(-1+e^{\frac{1}{z}}\right)z$ Final Answer $\left(-1+e^{\frac{1}{z}}\right)z$