Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.2 The Exponential e, #21 · Calculus · Differentiation rules

The limit of … is

The limit of $(11/10)^{10}, (101/100)^{100}, \dots$ is $e$ . So the limit of $(10/11)^{10}, (100/101)^{100}, \dots$ is ____. So the limit of $(10/11)^{11}, (100/101)^{101}, \dots$ is ____. The last sequence is $(1 - 1/ n)^{n}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.2 The Exponential e, #21

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