If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Calculus, all content (2017 edition)

Course: Calculus, all content (2017 edition) > Unit 7

Lesson 12: Power series intro
Math
Calculus, all content (2017 edition)
Series
Power series intro
© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

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
Stuck?
Stuck?