Second order Taylor's polynomial with variable x is

1
f(a)+f'(a) (x-a)3
2
f(a)+f'(a) (x-a)+(1/2!)f''(a) (x-a)2
3
f(a)+f'(a) (x-a)2
4
f(a)+f'(a) (x-a)+(1/2!)f''(a) (x-a)3

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