Question: Match functions af with Taylor polynomials AF (all centered at 0). Give reasons for your choices. a. 1 + 2x A. p 2 (x) =

Match functions a–f with Taylor polynomials A–F (all centered at 0). Give reasons for your choices.

a. √1 + 2x          A. p2(x) = 1 + 2x + 2x2

b. 1/√1 + 2x      B. p2(x) = 1 - 6x + 24x2

c. e2x                 C. p2(x) = 1 + x - x2/2

d. 1/1 + 2x        D. p2(x) = 1 - 2x + 4x2

e. 1/(1 + 2x)3    E. p2(x) = 1 - x + 3/2 x2

f. e-2x                 F. p2(x) = 1 - 2x + 2x2

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