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10 cards from this deck
Function as infinite sum of powers of xxx
f(x)=f(0)+xf′(0)+x22!f′′(0)+...f(x) = f(0) + xf'(0) + \frac{x^2}{2!}f''(0) + ...f(x)=f(0)+xf′(0)+2!x2f′′(0)+...
−1<x<1-1 < x < 1−1<x<1
All xxx
−1<x≤1-1 < x \leq 1−1<x≤1
Odd powers only
Even powers only
f(0)f(0)f(0)
1+nx+n(n−1)2!x2+...1 + nx + \frac{n(n-1)}{2!}x^2 + ...1+nx+2!n(n−1)x2+...
Expand each part separately, then multiply series together
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