Maclaurin’s Theorem, Maclaurin’s Series, Maclaurin’s Series Problems and Solutions

Maclaurin’s Theorem, Maclaurin’s Series, Maclaurin’s Series Problems and Solutions

Problems

  1. Using Maclaurin’s series, prove that √(1+sin⁡2x )=1+x^2/2-x^3/6+x^4/24+…..
  2. Find the Maclaurin’s expansion of log(sec x) up to x^4 terms
  3. Obtain the Maclaurin’s expansion of the function log(1+x) up to 4th degree terms
  4. Expand log(1+cos x ) by Maclaurin’s series up to the term containing x^4
  5. Expand e^x/(1 + e)^x using Maclaurin’s series up to and including 3rd degree terms
  6. Expand the Maclaurin’s series of sec x up to x^4 terms

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