7. Σ n=1 N + 1

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (- 1)k+1 k9/8…

A: The given series is  ∑k=1∞ (-1)k+1k9/8

Q: Determine whether the given geometric series converges or diverges. If it converges, find its sum.…

A:

Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. Vn (-1)".…

A:

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent: The…

A: Let us consider an alternating  series ∑n=1∞(-1)nan The series is convergent if,  limn→∞an=0 an is…

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 00 5+ 2"…

A:

Q: Determine whether the geometric series converge or diverge. If it converges, evaluate it. Eo 2" 51-…

A: Series

Q: 3n-1 c) E 100 m=1

A: The given series is : ∑n=1∞3n-14n   Applying Ratio Test to the above series:…

Q: Determine whether each series converges or diverges. If it converges, find its sums n2 n%=D1 en/3

A:

Q: determine whether the series converges or diverges. If it is convergent, find the sum

A:

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent: 00…

A: Given,

Q: Determine whether the series converges, and if so find its sum. *WI

A: ∑k=3∞ 1k-2

Q: (2n)! 5n+1(n!)2 n=1

A:

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)"…

A:

Q: Determine whether the series converges or diverges n=D1

A: Ratio test: The series ∑n=1∞an converges if L=limn→∞an+1an<1 and diverges if  L=limn→∞an+1an>1…

Q: Determine if the series below converges or diverges. If it converges, determine what to do.

A: To discuss the convergence or divergence of the given series

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: The given series is: ∑n=1∞4n+15-n We have to determine whether the series is convergent or…

Q: 3" +2" 6" n=D1

A:

Q: "M8 3.

A:

Q: Determine whether the series converges or diverges, where a is a positive constant. n=5 Vn - Justify…

A: I have used the comparison test and find that given series DIVERGES.

Q: determine whether the series converges or diverges. If it is convergent, find the sum

A: Given series

Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find its…

A:

Q: Classify each series as absolutely Convergent, Conditionally Convergent, or Divergent. (-5)* (a) ?…

A:

Q: Σ 2n n + 2 h = 1

A:

Q: Determine whether the series converges or diverges. If it is convergent, find the sum. (n + 6)(n +…

A:

Q: Determine whether the series converges or diverges. If it is convergent, find the sum. (If the…

A:

Q: Determine whether the given series converges absolutely, converges conditionally, or diverges. q=2…

A: We apply alternating series test to test for convergence ∑q=2∞(-1)q1q+6q The alternating series…

Q: Determine whether the series converges or diverges. Show the work and identify the test you used.…

A:

Q: Determine if the series below converges or diverges. If it converges, determine what to do.

A: Leibnitz test: If the alternative series, u1 - u2 + u3 – u4 + … (un > 0, for all n) is such that

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

A:

Q: Determine whether the geometric series converges or diverges. If it converges, find its sum. E7*8*+1…

A: Given: Here,         an=7n8-n+1    =7n8n-1 So,         limn→∞an+1an=limn→∞7n+18n7n8n-1…

Q: Determine whether the series converges or diverges. If it converges, find the sum of the series. n-1…

A: (a). The given series is: ∑n=1∞ 3-12n-1

Q: n (n2 + 1)2 n=1

A:

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent.…

A:

Q: Determine whether the series is convergent or divergent. k? k2 - 4k + 6 k = 1 convergent O divergent…

A:

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent.…

A:

Q: Determine if the series converges. If it converges, find the sum: To 3n-1+2 2n=1 5n

A:

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent: 00…

A:

Q: go (-3)"-1 Zn=1 n 100 4n

A: Given: ∑n=1∞(-3)n-14n

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 (-1)k+1…

A:

Q: E(-1)" (Зп — 1)! 5"(n!) n=1

A:

Q: п 9. E 5" n=1

A:

Q: Determine whether the series converges absolutely or conditionally, or diverges.

A:

Q: -1) п — 1 n n n=2

A:

Q: n2 + n 3n2 + 4 n=1

A: First I have written the limit comparison test , just use them and find that given series is…

Q: 4 E(-1)"-1. n+6 n=1

A: Use Alternating series test to find the series ∑n=1∞-1n-14n+6 is conditionally convergent or…

Q: Determine if the series converges absolutely, converges, or diverges. Σ (-1)h 6n1/3 + 1 n=1

A: We have to check the convergence of the alternating series.

Q: 2 -l n² -1 5.

A:

Q: I M8

A: now the given function is  f(n)= ln(n)n-ln(n) now take limit =limn→∞f(n) =limn→∞ln(n)n-ln(n) by…