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AP®︎/College Calculus BC

Unit 10: Lesson 15

Representing functions as power series
Math
AP®︎/College Calculus BC
Infinite sequences and series
Representing functions as power series
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Integrate & differentiate power series

AP.CALC: LIM‑8 (EU), LIM‑8.D (LO), LIM‑8.D.6 (EK), LIM‑8.G (LO), LIM‑8.G.1 (EK)
Google Classroom

Problem

f, left parenthesis, x, right parenthesis, equals, sum, start subscript, n, equals, 0, end subscript, start superscript, infinity, end superscript, left parenthesis, minus, 1, right parenthesis, start superscript, n, end superscript, start fraction, x, start superscript, 2, n, plus, 1, end superscript, divided by, left parenthesis, 2, n, right parenthesis, !, end fraction
f, start superscript, prime, prime, prime, end superscript, left parenthesis, 0, right parenthesis, equals
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
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