Determine if the following series converge or diverge. If it converges, find the sum. a. ∑n=(3^n+1)/(2n)...

Determine if the following series converge or diverge. If it converges, find the sum.

a. ∑n=(3^n+1)/(2n) (upper limit of sigma∞, lower limit is n=0)

b.∑n=(cosnπ)/(2) (upper limit of sigma∞ , lower limit is n= 1

c.∑n=(40n)/(2n−1)^2(2n+1)^2 (upper limit of sigma ∞ lower limit is n= 1

d.)∑n = 2/(10)^n (upper limit of sigma ∞ , lower limit of sigma n= 10)

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

1. Given the series: ∞∑k=1 2/k(k+2) does this series converge or diverge? converges diverges If the...

1. Given the series: ∞∑k=1 2/k(k+2) does this series converge or diverge? converges diverges If the series converges, find the sum of the series: ∞∑k=1 2/k(k+2)= 2. Given the series: 1+1/4+1/16+1/64+⋯ does this series converge or diverge? diverges converges If the series converges, find the sum of the series: 1+1/4+1/16+1/64+⋯=

Determine whether the geometric series converges or diverges. If it converges, find its sum. -1/9 +...

Determine whether the geometric series converges or diverges. If it converges, find its sum. -1/9 + 1/27 - 1/81 + 1/243 - ...

Find the sum (n=5, to infinity) of the series (n2 -n)/2n

Check all of the following that are true for the series ∑n=1∞(n−8)cos(nπ)/(n^2). Converge, diverge, integral test,...

Check all of the following that are true for the series ∑n=1∞(n−8)cos(nπ)/(n^2). Converge, diverge, integral test, comparison test, limit comparison, ratio test, and alternation test. Same with ∑n=1∞8^n/((4^n)-1)

Determine if each of the infinite series below converges or diverge. State the criteria used to...

Determine if each of the infinite series below converges or diverge. State the criteria used to make the determination, and show the work. (7 pts) n=1∞sin(1/n) (7 pts) n=1∞ln(n)/n (7 pts) n=1∞2n/n!

2. Determine if the following series converge or diverge. Justify your answers, citing any appropriate tests...

2. Determine if the following series converge or diverge. Justify your answers, citing any appropriate tests for convergence that you use. (a) sigma^infinity_n=1 n + 2/(n^5/3 + n + 5 ) (b) sigma^infinity_n=1 (1 − 1/ n)^n ^2

Determine whether the series converges absolutely, conditionally, or not at all. ∞ n = 1 (−1)n...

Determine whether the series converges absolutely, conditionally, or not at all. ∞ n = 1 (−1)n 1 + n3

Check all of the following that are true for the series ∑n=1∞(n−3)cos(n*π)n^2 A. This series converges...

Check all of the following that are true for the series ∑n=1∞(n−3)cos(n*π)n^2 A. This series converges B. This series diverges C. The integral test can be used to determine convergence of this series. D. The comparison test can be used to determine convergence of this series. E. The limit comparison test can be used to determine convergence of this series. F. The ratio test can be used to determine convergence of this series. G. The alternating series test can be...

\sum _{n=1}^{\infty }\:\frac{4\left(-1\right)^n+2^n}{3^n} Determine whether the series is convergent or divergent. If it is convergent, find...

\sum _{n=1}^{\infty }\:\frac{4\left(-1\right)^n+2^n}{3^n} Determine whether the series is convergent or divergent. If it is convergent, find its sum.

1. Find all the values of x such that the given series would converge. ∞∑n=1 (3x)^n/n^11...

1. Find all the values of x such that the given series would converge. ∞∑n=1 (3x)^n/n^11 The series is convergent from x = , left end included (enter Y or N): to x = , right end included (enter Y or N): 2. Find all the values of x such that the given series would converge. ∞∑n=1 5^n(x^n)(n+1) /(n+7) The series is convergent from x= , left end included (enter Y or N): to x= , right end included (enter Y or...

Subjects