Question

Mark each series as convergent or divergent 1. ∑n=1∞ln(n)4n 2.  ∑n=1∞ 4+8^n/2+3^n 3. ∑n=1∞ 6n/(n+3) 4. ∑n=1∞1/(7+n2−−√6)...

Mark each series as convergent or divergent

1. ∑n=1∞ln(n)4n

2.  ∑n=1∞ 4+8^n/2+3^n

3. ∑n=1∞ 6n/(n+3)

4. ∑n=1∞1/(7+n2−−√6)

5.  ∑n=3∞ 6/(n^4−16)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
6. Let series {an} = 1/(n2 + 1) and series {bn} = 1/n2. Use Limit Comparison...
6. Let series {an} = 1/(n2 + 1) and series {bn} = 1/n2. Use Limit Comparison Test to determine if each series is convergent or divergent. 7. Use Ratio Test to determine if series {an}= (n + 2)/(2n + 7) where n is in interval [0, ∞] is convergent or divergent. Note: if the test is inconclusive, use n-th Term Test to answer the question. 8. Use Root Test to determine if series {an} = nn/3(1 + 2n) where n...
Test the series for convergence or divergence. ∞ en n2 n = 1 convergent or divergent    
Test the series for convergence or divergence. ∞ en n2 n = 1 convergent or divergent    
Determine whether each series is absolutely convergent, conditionally convergent, or divergent. X∞ n=1 (−1)n−1 (n /n...
Determine whether each series is absolutely convergent, conditionally convergent, or divergent. X∞ n=1 (−1)n−1 (n /n 3/2 + 1)
Determine whether the given series are absolutely convergent, conditionally convergent or divergent: a.) sigma ∞to n=0...
Determine whether the given series are absolutely convergent, conditionally convergent or divergent: a.) sigma ∞to n=0 (−3)n\(2n + 1)! b.) sigma ∞ ton=1 (2n)!\(n!)2
c.) Determine whether the seriesX∞ k=1 k(k^4 + 2k)/(3k 2 − 7k^5) is convergent or divergent....
c.) Determine whether the seriesX∞ k=1 k(k^4 + 2k)/(3k 2 − 7k^5) is convergent or divergent. If it is convergent, find the sum. d.) Determine whether the series X∞ n=1 n^2/(n^3 + 1) is convergent or divergent.
how do I show if the series sigma(n=1 to infinity) cos(npi/3)/(n!) is divergent, conditionally convergent, or...
how do I show if the series sigma(n=1 to infinity) cos(npi/3)/(n!) is divergent, conditionally convergent, or absolutely convergent?
1. Determine whether the series is convergent or divergent. a) If it is convergent, find its...
1. Determine whether the series is convergent or divergent. a) If it is convergent, find its sum. (using only one of the THREE: telescoping, geometric series, test for divergence) summation from n=0 to infinity of [2^(n-1)+(-1)^n]/[3^(n-1)] b) Using ONLY the Integral Test. summation from n=1 to infinity of n/(e^(n/3)) Please give detailed answer.
abs convergent, condit. convergent or divergent? A. infinity sigma k=2 (1/(k(lnk)^3) B. infinity sigma k=2 ((-9^(2n))/(n^2*8^n)
abs convergent, condit. convergent or divergent? A. infinity sigma k=2 (1/(k(lnk)^3) B. infinity sigma k=2 ((-9^(2n))/(n^2*8^n)
Consider the infinite series: (2/5) + (2*6) /(5*8) + (2*6*10) / (5*8*11) + (2*6*10*14) / (5*8*11*14)...
Consider the infinite series: (2/5) + (2*6) /(5*8) + (2*6*10) / (5*8*11) + (2*6*10*14) / (5*8*11*14) +........ Determine whether the series is absolutely convergent, conditionally convergent, or divergent.
Find a general term (as a function of the variable n) for the sequence{?1,?2,?3,?4,…}={45,1625,64125,256625,…}{a1,a2,a3,a4,…}={45,1625,64125,256625,…}. Find a...
Find a general term (as a function of the variable n) for the sequence{?1,?2,?3,?4,…}={45,1625,64125,256625,…}{a1,a2,a3,a4,…}={45,1625,64125,256625,…}. Find a general term (as a function of the variable n) for the sequence {?1,?2,?3,?4,…}={4/5,16/25,64/125,256/625,…} an= Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. (If it diverges to infinity, state your answer as inf . If it diverges to negative infinity, state your answer as -inf . If it diverges without being infinity or negative infinity, state your answer...