Write out the first four terms of the Maclaurin series of f(x) if f(0)=−8,f′(0)=−3,f′′(0)=9,f′′′(0)=−10 . f(x)= ___ +...

Question

Write out the first four terms of the Maclaurin series of f(x) if f(0)=−8,f′(0)=−3,f′′(0)=9,f′′′(0)=−10 .  f(x)= ___ +...

Mark M. · Accepted Answer

f(0) + f'(0)(x-0) + (f"(0)/2!)(x-0)2 + (f'''(0)/3!)(x-0)3= 8 - 3x + (9/2)x2 - (5/3)x3

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