MAT223H1 Lecture : MAT223 Week 10

Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges , + + 12-22 22-32-3242 n2(n+1)2 S. " … 23 3 en か20

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a. Find the Taylor series for In(1+x) centered at 2 .Write out the sum of the first five non-zero terms, followed by dots. b. Determine the x values for which the Taylor series in part (a) equals the function In(1+x) .Use interval notation. 2) $1 3242) 18