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For the following series, use the ASET to give an estimate of...
The following series. a) Use the sum of the first 10 terms to estimate the sum of the given serie...
the following series. a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six de 10 (b) Improve this estimate using the following inequalities with n 10. (Round your answers to six decimal (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in th n>22 O n 13 On>0 O n> -22 d Help?
the following series. a)...
Consider the following alternating series. (-1)*+ 1 3k k=1 (a) Show that the series satisfies the...
Consider the following alternating series. (-1)*+ 1 3k k=1 (a) Show that the series satisfies the conditions of the Alternating Series Test. 1 3" Since lim o and an + 1 for all n, the series is convergent (b) How many terms must be added so the error in using the sum S, of the first n terms as an approximation to the sum n=10 X (c) Approximate the sum of the series so that the error is less than...
Is the following series cos n convergent or divergent? Prove your result. 2 if Σ an...
Is the following series cos n convergent or divergent? Prove your result. 2 if Σ an with an > o is convergent, then is Σ a.. always convergent? Either prove it or give a counter example. 3 Is the following series convergent or divergent? if it is divergent, prove your result; if it is convergent, estimate the sum. 4 Is the following series 2n3 +2 nal convergent or divergent? Prove your result.
Let Pbé à pósitive, continuous, and decreasing function for x 2 1, such that an-n). If the series...
Let Pbé à pósitive, continuous, and decreasing function for x 2 1, such that an-n). If the series an n 1 converges to S, then the remainder RN -S-Sw is bounded by Use the result above to approximate the sum of the convergent series using the indicated number of terms. (Round your answers to four decimal place Σ ,T, ten terms n2 +1' Include an estimate of the maximum error for your approximation. (Give your answer to four decimal places.)...
n-1 1 1 1 4. The series $0 = 1 + +... is a geometric series....
n-1 1 1 1 4. The series $0 = 1 + +... is a geometric series. 2 2 4 8 n=1 Which of the following is true? (a) The series is convergent and its sum is less than 1/2. (b) The series is convergent and its sum is 1/2. (c) The series is convergent and its sum is 2/3. (d) The series is convergent and its sum is more than 2/3.
1 Find the partial sum Sy of the series Ž Give your answer to five decimal...
1 Find the partial sum Sy of the series Ž Give your answer to five decimal places. n=1 3+41 Select one: a. Sz= 0.21555 b. S=0.19176 C. S7= 0.18985 d. Sz= 0.18975 e. Sz= 1.60976 Σ 3m Given the series m=1 4M(3m +5) |- estimate the error in using the partial sum sg by comparison with the series Σ 1 m=94m Select one: o a. Rg < 0.0000051 b. Rg < 0.000005 C. Rg > 0.0000052 d. R8 < 2.6130051...
Use the sum of the first 10 terms to approximate the sum S of the series....
Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 4 n 1 n 1 S Estimate the error. (Use the Remainder Estimate for the Integral Test.) error s
Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 4 n 1 n 1 S Estimate the error. (Use the Remainder Estimate for the...
Problem 3. Consider the series: 1 n [ln (n)]4 n=2 a) (6 pts) Use the integral...
Problem 3. Consider the series: 1 n [ln (n)]4 n=2 a) (6 pts) Use the integral test to show that the above series is convergent. b) (4 pts) How many terms do we need to add to approximate the sum within Error < 0.0004.
The following are series with positive terms, use any test that applies to determine if the...
The following are series with positive terms, use any test that applies to determine if the series is convergent or divergent. Do not attempt to find the sum. 1/3 65/4 - k=2 83 84 85 8 - 3m +5 - n(n – 1)(n – 2) n=3 XO en tn | - n n=1 n? (๒) 1 มี 'n+ 2n2 +1 mel
12-1 + + 4. The series £9) .. is a geometric series. 4 n=1 Which of...
12-1 + + 4. The series £9) .. is a geometric series. 4 n=1 Which of the following is true? (a) The series is convergent and its sum is less than 1/2. (b) The series is convergent and its sum is 1/2. (c) The series is convergent and its sum is 2/3. (d) The series is convergent and its sum is more than 2/3. IS 5. For positive numbers a and r, it is known that the geometric series divergent....
the following series. a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six de 10 (b) Improve this estimate using the following inequalities with n 10. (Round your answers to six decimal (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in th n>22 O n 13 On>0 O n> -22 d Help?
the following series. a)...
Consider the following alternating series. (-1)*+ 1 3k k=1 (a) Show that the series satisfies the conditions of the Alternating Series Test. 1 3" Since lim o and an + 1 for all n, the series is convergent (b) How many terms must be added so the error in using the sum S, of the first n terms as an approximation to the sum n=10 X (c) Approximate the sum of the series so that the error is less than...
Is the following series cos n convergent or divergent? Prove your result. 2 if Σ an with an > o is convergent, then is Σ a.. always convergent? Either prove it or give a counter example. 3 Is the following series convergent or divergent? if it is divergent, prove your result; if it is convergent, estimate the sum. 4 Is the following series 2n3 +2 nal convergent or divergent? Prove your result.
Let Pbé à pósitive, continuous, and decreasing function for x 2 1, such that an-n). If the series an n 1 converges to S, then the remainder RN -S-Sw is bounded by Use the result above to approximate the sum of the convergent series using the indicated number of terms. (Round your answers to four decimal place Σ ,T, ten terms n2 +1' Include an estimate of the maximum error for your approximation. (Give your answer to four decimal places.)...
n-1 1 1 1 4. The series $0 = 1 + +... is a geometric series. 2 2 4 8 n=1 Which of the following is true? (a) The series is convergent and its sum is less than 1/2. (b) The series is convergent and its sum is 1/2. (c) The series is convergent and its sum is 2/3. (d) The series is convergent and its sum is more than 2/3.
1 Find the partial sum Sy of the series Ž Give your answer to five decimal places. n=1 3+41 Select one: a. Sz= 0.21555 b. S=0.19176 C. S7= 0.18985 d. Sz= 0.18975 e. Sz= 1.60976 Σ 3m Given the series m=1 4M(3m +5) |- estimate the error in using the partial sum sg by comparison with the series Σ 1 m=94m Select one: o a. Rg < 0.0000051 b. Rg < 0.000005 C. Rg > 0.0000052 d. R8 < 2.6130051...
Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 4 n 1 n 1 S Estimate the error. (Use the Remainder Estimate for the Integral Test.) error s
Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 4 n 1 n 1 S Estimate the error. (Use the Remainder Estimate for the...
Problem 3. Consider the series: 1 n [ln (n)]4 n=2 a) (6 pts) Use the integral test to show that the above series is convergent. b) (4 pts) How many terms do we need to add to approximate the sum within Error < 0.0004.
The following are series with positive terms, use any test that applies to determine if the series is convergent or divergent. Do not attempt to find the sum. 1/3 65/4 - k=2 83 84 85 8 - 3m +5 - n(n – 1)(n – 2) n=3 XO en tn | - n n=1 n? (๒) 1 มี 'n+ 2n2 +1 mel
12-1 + + 4. The series £9) .. is a geometric series. 4 n=1 Which of the following is true? (a) The series is convergent and its sum is less than 1/2. (b) The series is convergent and its sum is 1/2. (c) The series is convergent and its sum is 2/3. (d) The series is convergent and its sum is more than 2/3. IS 5. For positive numbers a and r, it is known that the geometric series divergent....
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