Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.6 Powers Instead of Exponentials, #42 · Calculus · Applications of derivatives

Approximate … as in (15) and (16) to show that you owe…

Approximate $(1 + 1/ n)^{n}$ as in (15) and (16) to show that you owe Euler about $e - e /2 n$ . Compare Problem 6.2.5.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.6 Powers Instead of Exponentials, #42

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