Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.2 The Exponential e, #19 · Calculus · Differentiation rules

The difference between … and … is approximately

The difference between $e$ and $(1 + 1/ n)^{n}$ is approximately $C / n$ . Subtract the calculated values for $n = 10, 100, 1000$ from $2.7183$ to discover the number $C$ .

~5 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.2 The Exponential e, #19

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.