Let T5(x) be the fifth degree Taylor polynomial of cos(0.8x) centered at 0. a. Find T5(x)....

 

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Let T5(x) be the fifth degree Taylor polynomial of cos(0.8x) centered at 0. a. Find T5(x). (Enter a function. Don't use factorials in your answer.) T5(x) =☐ b. Find the largest integer k such that if x < 1, the Taylor polynomial T5(x) approximates cos(0.8x) with error less than 10-k. k=0 Let T5(x) be the fifth degree Taylor polynomial of cos(0.8x) centered at 0. a. Find T5(x). (Enter a function. Don't use factorials in your answer.) T5(x) =☐ b. Find the largest integer k such that if x < 1, the Taylor polynomial T5(x) approximates cos(0.8x) with error less than 10-k. k=0

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