Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.6 Powers Instead of Exponentials, #28 · Calculus · Applications of derivatives

For which numbers … does … approach a limit as … and…

For which numbers $a$ does $(1 - a^{t}) / (1 - a)$ approach a limit as $t \to \infty$ and what is the limit?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.6 Powers Instead of Exponentials, #28

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