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Show That the Taylor Series About 0 For f(x)=3sin⁡(x)f(x)=3 \sin (x)

Question 58

Essay

Show that the Taylor series about 0 for f(x)=3sin⁡(x)f(x)=3 \sin (x) converges to 3sin⁡(x)3 \sin (x) for all values of x by showing that the error En(x)→0E_{n}(x) \rightarrow 0 .

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Using the Lagrange error bound...

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