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Find a formula for the sum of n terms. Use the formula to find the limit...
Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 + 1 lim = L > 0 converges diverges Use the Limit Comparison Test to determine the convergence or divergence of the series. Στέ ο, Vn2 + 7 √2 + 7 lim - =L >0 n00 converges diverges -/2 POINTS LARCALCET6 9.4.016. Use the Limit Comparison Test to determine the convergence or divergence of the series. 61 + 1 70 + 1 6 7 +...
Find the limit of the following. lim (V9x2 + 7x - V9x2 – 3x) lim (9x2 +7x - V9x2 - 3x) - X-00 (Simplify your answer.) t + 3t - 208 Find lim -13 - 169 + + 3t - 208 lim 1-13 - 169 (Type an integer or a simplified fraction.) Define f(7) in a way that extends f(s)= S-343 2 to be continuous at s = 7. s -49 f(7)- (Type an integer or a simplified fraction.) x+5...
I'm having difficulty how many terms need to be added in. Test the series for convergence or divergence. 00 Σ (-1)" n2n n = 1 Identify bn. 1 n2" Evaluate the following limit. lim bn n → 00 0 Since lim bn O and bn + 1 s bn for all n, the series is convergent n00 If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to...
How do I approach this Q? 1 1 1 + + (1) co 4 1 1 1 1 1 1 *82. (To illustrate that a conditionally convergent series, when rearranged, can have a different sum.) Consider 1- 2 and (2) 2 4 3 8 5 10 12 Check that (1) is conditionally convergent with limit S say, and that the terms in (2) are just a rear- rangement of those of (1). Denote the sum of the first n terms...
Evaluate the limit by first recognizing the sum as a Riemann sum for a function defined on [0, 1]. lim n→∞ n 6i3 5n4 i = 1
Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. 13 13 (n + 1)(n+2) What is the formula for the nth partial sum of the series? Sn=0 What is the sum of the series? Select the correct choice below and, if necessary, fill in the answer box to complete your answer. (Type an integer or a simplified fraction.) O A. The sum of the series is...
5 + 8 + 11...+92 Use the formula to find the sum of terms of the arithmetic sequence:
Twi}ly Saved Work Revert i 1/2 POINTS PREVIOUS ANSWERS Use the Limit Comparison Test to determine th n = 1 nk + 7 nk - 1 lim nk +7 n00 = > 0 O converges O diverges Need Help? Read it wtent Submit Answer 3. on Points PREVIOUS ANSWERS LARCALC11 9. Use the Alternating Sort
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) = cos(n) lim an = n00
1. Use the formula for the sum of 1 to n and/or the formula for the sum of a geometric sequence to find the following sums: (a) 1+9+92 + ... +9200 (6) 56 + 57 +... + 523 (c) | + 92 + ... + ම ම ම