1. Use the fact that [ sin (x)= sum_{k=0}^{ infty} frac{(-1)^{k}}{(2 k+1) !} x^{2 k+1} ] for all x. Suppose you want to approximate ( sin (0.1) ) with error less than ( 10^{-10} ). How many terms could you take to guarantee that your error was small enough?

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1. Use the fact that  [  sin (x)= sum_{k=0}^{ infty}  frac{(-1)^{k}}{(2 k+1) !} x^{2 k+1}  ] for all x. Suppose you want to approximate  (  sin (0.1)  ) with error less than  ( 10^{-10}  ). How many terms could you take to guarantee that your error was small enough?

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Expert Answer to -  1. Use the fact that  [  sin (x)= sum_{k=0}^{ infty}  frac{(-1)^{k}}{(2 k+1) !} x^{2 k+1}  ] for al

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Solution for -  1. Use the fact that  [  sin (x)= sum_{k=0}^{ infty}  frac{(-1)^{k}}{(2 k+1) !} x^{2 k+1}  ] for al

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This an additional answer to -  1. Use the fact that  [  sin (x)= sum_{k=0}^{ infty}  frac{(-1)^{k}}{(2 k+1) !} x^{2 k+1}  ] for al

(Solved): 1. Use the fact that \[ \sin (x)=\sum_{k=0}^{\infty} \frac{(-1)^{k}}{(2 k+1) !} x^{2 k+1} \] for al ...

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