Limit Involving Logarithm and e

Find the limit of $n lo g \frac{e}{( 1 + \frac{1}{n} ) ^{n - 1}}$ as $n$ approaches infinity.

~8 minAnswer checked instantlyLimitsLogarithmic Properties

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XX. Limiting Values and Vanishing Fractions, Examples XX, No. 17

Stuck? A gentle nudge

Something off?

Workspace

Your answer

Loading the math keyboard…

Type naturally — sqrt, pi, / and ^ become notation. Any equivalent form is accepted. Press Enter to check.

Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).