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The graph of f is shown below on the ry-plane. Explain why y = 0.8(x - 1) +0.4(x - 1)2 +0.1(x - 1)3 + ...

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The graph of f is shown below on the ry-plane. Explain why y = 0.8(x - 1) +0.4(x - 1)2 +0.1(x - 1)3 + ... cannot be the Taylor series of f centred at 1

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