Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.5 Power Series, #14 · Calculus · Power & Taylor series

Puzzle out the sums of the following series: (a) … (b) …

Puzzle out the sums of the following series:
(a) $x + x^{2} - x^{3} + x^{4} + x^{5} - x^{6} + \dots$
(b) $1 + \frac{x ^{4}}{4 !} + \frac{x ^{8}}{8 !} + \dots$
(c) $(x - 1) - \frac{1}{2} (x - 1)^{2} + \frac{1}{3} (x - 1)^{3} - \dots$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.5 Power Series, #14

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