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1. [21] points] For this problem, consider the function 1 ar3 W?) = [a] Compute some derivatives at m : 4 and see if you

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1. [21] points] For this problem, consider the function 1 ar3 W?) = [a] Compute some derivatives at m : 4 and see if you can come up with a formula for the nth derivative f1\"III [4] [h] Write out the full Taylor series for r] centered at 5': : 4 in sigma notation. [(3) Now write out 130:], the third-degree Taylor polynomial for z), centered at 3: = 4. [1 Use Ta lor's Remainder Theorem to estimate how close H1 4.1 is to 4.1 . 3

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