Exercise 36 will show how a partial sum can be used to obtain upper and lower bounds on the sum of a series when the hypotheses of the integral test are satisfied. This result will be needed in Exercises 37-40.
(a) Let
(b) Show that if S is the sum of the series
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CALCULUS EARLY TRANSCENDENTALS W/ WILE
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- The Taylor series for True False 1 X-2 at x = 3 is 1-(x-3) + (x − 3)²-(x-3)³ + ...arrow_forwardSolve it on paper!arrow_forwardSm = 2m is the mth partial sum of an infinite series an . Find a,. Determine if the series is convergent or divergent, and if convergent n=1 find its sum. O A. an = 2n+1 for n > 1; series converges, sum is 을 1 for n > 2; series converges, sum is 0 2n O B. a, = an = - (-1)n+1 an for n > 1; series converges, sum is - 2n O D. a1 = , an = - 1 for n > 2; series converges, sum is 2n 를 O E. an 1 for n > 1; series converges, sum is 1 2narrow_forward