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Calculus, all content (2017 edition)

Lesson 15: Power series function representation

Function as a geometric series

AP.CALC: LIM‑8 (EU), LIM‑8.E (LO), LIM‑8.E.1 (EK), LIM‑8.F (LO), LIM‑8.F.1 (EK)

f, left parenthesis, x, right parenthesis, equals, start fraction, 3, divided by, 1, minus, x, squared, end fraction

Find a power series for f.

(Choice A)
3, plus, 3, x, plus, start text, space, end text, dots, plus, start text, space, end text, 3, x, start superscript, n, end superscript, plus, dots
(Choice B)
3, x, plus, 3, x, squared, plus, point, point, point, plus, 3, x, start superscript, n, plus, 1, end superscript, plus, dots
(Choice C)
3, start text, space, end text, plus, start text, space, end text, 3, x, squared, dots, plus, start text, space, end text, 3, x, start superscript, 2, n, end superscript, plus, dots
(Choice D)
3, start text, space, end text, plus, start text, space, end text, 9, x, squared, plus, dots, plus, start text, space, end text, left parenthesis, 3, x, squared, right parenthesis, start superscript, n, end superscript, plus, dots

Stuck?