Taylorpolynom

The exercise was created 2018-01-07 by aliceaskemyr. Question count: 9.

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  • exp(x) x^k/k!
  • sin(x) (-1)^(k-1) gånger x^(2k-1)/(2k-1)!
  • cos(x) (-1)^k gånger x^(2k)/(2k)!
  • 1/(1-x) x^k
  • ln(1+x) (-1)^(k-1) gånger x^k/k
  • arctan(x) (-1)^(k-1) gånger x^(2k-1)/(2k-1)
  • sqrt(1+x) (1/2)!/(k!(1/2-k)!) gånger x^k
  • (1+x)^a a!/(k!(a-k)!) gånger x^k
  • tan(x) av order 3 med felterm x+x^3/3+2x^5/15+O(x^7)

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