Limits can be so unscrupulous

Calculus Level 4

\[ \lim_{x\to0} \dfrac{(1+x)^{1/x} - e}{x} = \, ? \]

Round your answer to 1 decimal place.

Clarification

  • \(\displaystyle e= \lim_{n\to\infty} \left( 1 + \dfrac1n\right)^n \approx 2.71828 \).
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