The graph of f is shown.

(a) Explain why the series 1.1 + 0.7x² + 2.2x³ + ∙ ∙ ∙ is not the Maclaurin series of f.

(b) Explain why the series

1.6 − 0.8(x − 1) + 0.4(x − 1)² − 0.1(x − 1)³ + ∙ ∙ ∙

is not the Taylor series of f centered at 1.

(c) Explain why the series

2.8 + 0.5(x − 2) + 1.5(x − 2)² − 0.1(x − 2)³ 1 ∙ ∙ ∙

is not the Taylor series of f centered at 2.

Transcribed Image Text:

y 1 0 f X