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The following table contains the evaluation of the Taylor polynomial centered at a = 1 for f(x) = 1/x. What is the degree of this polynomial? x T(x) 0.5.

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Presentation on theme: "The following table contains the evaluation of the Taylor polynomial centered at a = 1 for f(x) = 1/x. What is the degree of this polynomial? x T(x) 0.5."— Presentation transcript:

1 The following table contains the evaluation of the Taylor polynomial centered at a = 1 for f(x) = 1/x. What is the degree of this polynomial? x T(x) 0.5 1.88 0.6 1.62 1.8 0.33 2.9 -4.15 3 -5.00 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.2 2.3 3.1

2 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1. 2. 3.

3 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.0.5001 2.0.0001 3.1.0001

4 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.-1.092< x < 1.492 2.-0.792< x < 1.792 3.-1.292 < x < 1.292

5 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.26 m 2.26.5 m 3.27 m

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