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AP Calculus AB/BC
Unit 10 – Infinite Sequences and Series (BC Only)
Topic 10.14
What is the Taylor series for the function f(x) centered at x = 0?
f(x) = f(0) + f'(0)x + (f''(0)x^2)/2! + (f'''(0)x^3)/3! + ... + (f^(n)(0)x^n)/n!
f(x) = f(0) + f'(x) + f''(x) + f'''(x) + ...
f(x) = f(0) + f'(x) + f''(x) + f'''(x) + ... + f^(n)(x)x^n
f(x) = f(0) + f'(0)x + f''(0)x^2 + f'''(0)x^3 + ...
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AP Calculus AB/BC - 10.14 Finding Taylor or Maclaurin Series for a Function
Key terms
Taylor Series
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Cram Mode
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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.
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