Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.5 Power Series, #50 · Calculus · Power & Taylor series

If the …th root of … approaches …, explain why … has…

If the $n$ th root of $a_{n}$ approaches $L > 0$ , explain why $Σ a_{n} x^{n}$ has convergence radius $r = 1/ L$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.5 Power Series, #50

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