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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)


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