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Taylor and Maclaurin series Quiz: printable

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Taylor and Maclaurin series Quiz

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8 questions. Calculator allowed. Show your working. steplyclass.com/calculus-2/taylor-and-maclaurin-series/quiz/

  1. 1

    Maclaurin polynomial of degree 3 for ex

    Answer: ____________________

  2. 2

    Maclaurin polynomial of degree 4 for cos x

    Answer: ____________________

  3. 3

    Maclaurin polynomial of degree 5 for sin x

    Answer: ____________________

  4. 4

    Maclaurin polynomial of degree 3 for ln(1 + x)

    Answer: ____________________

  5. 5

    Taylor polynomial of degree 3 for √x at x = 4

    Answer: ____________________

  6. 6

    Taylor polynomial of degree 4 for ln x at x = 1

    Answer: ____________________

  7. 7

    Taylor polynomial of degree 3 for 1x at x = 1

    Answer: ____________________

  8. 8

    Maclaurin polynomial of degree 4 for e−2x

    Answer: ____________________

Answer key

  1. 1 + x + x22 + x36
  2. 1 − x22 + x424
  3. x − x36 + x5120
  4. x − x22 + x33
  5. 2 + ((x − 4))/4 − ((x − 4)2)/64 + ((x − 4)3)/512
  6. (x − 1) − ((x − 1)2)/2 + ((x − 1)3)/3 − ((x − 1)4)/4
  7. 1 − (x − 1) + (x − 1)2 − (x − 1)3
  8. 1 − 2x + 2x2 − 4x33 + 2x43

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