Question: Use the following binomial series formula m(m - 1) (1 + x)m = 1+ me + . .. + m(m - 1) . ..(m- k+1)

Use the following binomial series formula m(m - 1) (1 + x)m = 1+ me + . .. + m(m - 1) . ..(m- k+1) ky 2! k! to obtain the MacLaurin series for (a)

the Taylor series about 0 for each of the functions below. Give

Use the following binomial series formula m(m - 1) (1 + x)m = 1+ me + . .. + m(m - 1) . ..(m- k+1) ky 2! k! to obtain the MacLaurin series for (a) (1+x) (b) VI+x = + . ... Enter first 4 terms only.Find the Taylor series about 0 for each of the functions below. Give the first three non-zero terms for each. A. 2 cos(x) + x2= + + ... B. x- sin(x2) - 14 = + . For each of these series, also be sure that you can find the general term in the series!Use a Maclaurin series derived in the text to derive the Maclaurin series for the function f (x) = / sin() dx, f(0) = 0. Find the first 4 nonzero terms in the series, that is write down the Taylor polynomial with 4 nonzero terms

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