The Taylor series for f(x) = ln(sec(x)) at a = 0 is > Cn(x)". Find the first few coefficients. Co Ci = C2 C3 = C4 = Find the exact error in approximating In(sec(0.1)) by its fourth degree Taylor polynomial at a 0. The error is || ||||||

Let f(x)= 2x+3 cosx-e^x,0<= x<=1 a. Find 3 rd  Taylor polynomial, and use it to approximate f (0.2). b. Compute the absolute error at x = 0.2 c. Find the upper bound of error using R2(x) at x = 0.2   Answer only part (c) of the question

Find T4(x): the Taylor polynomial of degree 4 of the function f(x)=arctan⁡(14x) at ?=0.(You need to enter a function.) ?4(?)= Please answer ASAP very confused I very much appreciate it.

10. (a) Produce the linear Taylor polynomials to f(x) = in (x) on 1 < x < 2, expanding about x, = }. Graph the error. Produce the linear minimax approximation to f(x) = ln (x) on [1, 2]. (b) Graph the error, and compare it with the Taylor approximation.