Question: Suppose we know the following information about a function f :f(0)=2,f'(0)=-3,f''(0)=-1,f'''(0)=0,f(4)(0)=-3a. Determine T4(x), the degree 4 Taylor polynomial off that is centered ata=0.b. Use T4(x)to

Suppose we know the following information about a function f :f(0)=2,f'(0)=-3,f''(0)=-1,f'''(0)=0,f(4)(0)=-3a. Determine T4(x), the degree 4 Taylor polynomial off that is centered ata=0.b. Use T4(x)to estimate f(0.5).c. State each of the Taylor polynomials T3(x),T2(x), and T1(x).

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