Question: Suppose f ( 0 ) = 2 f ( 0 ) = 2 , f ' ( 0 ) = 2 f ( 0 )

Suppose f(0)=2f(0)=2, f'(0)=2f(0)=2, f''(0)=8f(0)=8, and f^(3)(0)=12f(3)(0)=12.Find the third-order Taylor polynomial for f centered at 0 and use it to approximate f(0.1).

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