anonymous
  • anonymous
Using the first three terms of the Maclaurin's series, what is the value of cos(π/2)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Do you know how to find the MacLaurin/Taylor series of cos(x)?
anonymous
  • anonymous
No!!
anonymous
  • anonymous
Here's the general form: MacLaurin series of f(x) centered about x=0: \[f(0) + f'(0)*x + \frac{f''(0)*x^2}{2!} + \frac{f'''(0)*x^3}{3!} + ... + \frac{f^n(0)*x^n}{n!} + ...\] Use this to find the MacLaurin series of cos(x). You should notice a pattern pretty quickly, and since you're only using the first three terms, you want to plug π/2 for x after you get the series.

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anonymous
  • anonymous
Thank you !!
anonymous
  • anonymous
Sorry, the general term should be f^(n) instead of f^n, because you're taking the n-th derivative of the function at 0. No problem. :)
anonymous
  • anonymous
O.K.

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