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  3. f(x) = x ln x (a) write the taylor polynomial t3(x

f(x) = x ln x (a) Write the Taylor polynomial T3(x) for f(x) at center a...

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Basic Math

f(x) = x ln x

(a) Write the Taylor polynomial T3(x) for f(x) at center a =1.

(b) Use Taylor’s inequality to give an upper bound for |R3| =|f(x) − T3(x)| for |x − 1| ≤ 0.1. You don’t need to simplify thenumber.

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