1. Find the degree 3 Taylor polynomial centered at a=4 of the function (-5x+84)6

Question

1. Find the degree 3 Taylor polynomial centered at a=4 of the function (-5x+84)6(4/3)

2.Find the coefficients for the Taylor series ln(sec(x)) at a=0 is sum n=0 (cn(x)^n).Find the exact error in approximating ln(sec(0.1)) by its fourth degree Taylor polynomial at a=0.From c0 to c4

3.Find Taylor series of function ln(x) at a=6. sum n=0 c_n (x-6)^n. Find the interval of convergence. From c0 to c4

4.Represent the function 9ln(9-x) as a power series (Maclaurin series) . Find radius of convergence. From c0 to c4

5.The Taylor series for sin(x) at a=pi/3 is sum_ n=0 cn(x-(pi/3))^n,Find the first few coefficients.From c0 to c4

Explanations would be helpful

Explanation / Answer

in the first question f(x) = ?

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