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AP Calculus AB/BC
Unit 10 – Infinite Sequences and Series (BC Only)
Topic 10.11
What is the general formula for the nth-degree Taylor polynomial for a function f(x) centered at x = a?
Pn(x) = f(a) + f'(a)(x - a) + ... + f^(n-1)(a)(x - a)
Pn(x) = f(a) + f'(a)(x - a) + ... + f^(n+1)(a)(x - a)
Pn(x) = f(a) + f'(a)(x - a) + ... + f^(n-2)(a)(x - a)
Pn(x) = f(a) + f'(a)(x - a) + ... + f^n(a)(x - a)
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AP Calculus AB/BC - 10.11 Finding Taylor Polynomial Approximations of Functions
Key terms
Taylor Polynomial
centered
Function f(x)
nth-degree
x = a
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