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Maclaurin series of sin(x), cos(x), and eˣ

AP.CALC: LIM‑8 (EU), LIM‑8.E (LO), LIM‑8.E.1 (EK), LIM‑8.F (LO), LIM‑8.F.2 (EK)


f is the Maclaurin series sum, start subscript, n, equals, 0, end subscript, start superscript, infinity, end superscript, start fraction, x, start superscript, n, end superscript, divided by, 2, n, !, end fraction.
f, left parenthesis, natural log, left parenthesis, 7, right parenthesis, 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