k=1 k 2k + 1 k

Q: Test the series for convergence or divergence. 2 -1)^ -1 In(n) 4n 00

A:

Q: 84 K=1 √k ²² +16 1. Does the series Elak converge? (Circle one) • Yes / No 2. which test determines…

A:

Q: The series (an - an+1) converges iff the sequence an converges. (Tips: Cauchy Criterion for Series)

A: We have to prove that, the series ∑n=1∞an−an+1 converges if and only if the sequence an converges.…

Q: 0.74-1 k-1

A:

Q: use series t Find 2-4 x 2.

A:

Q: Consoruct the baylur Series for

A:

Q: Converges (by geometric series)

A: If  the geometric series is given by: ∑n=0∞arn=a+ar+ar2+..... If r<1 then geometric series…

Q: 1 Ln=2 /n-1

A: we are allow to solve one question at a time  thank you

Q: If a growth series and a linear series are specified that start at 1 and have a step value of 2,…

A: In linear series, we are adding the step value which is here is 2. We are beginning with 1 for both…

Q: Determine if the series converges or diverges

A:

Q: [(-1)" In (1+²) n=1

A: Given series ∑n=1+∞(-1)nln1+1n The objective is to prove that the series is converges by using…

Q: Determine whether the series (n!)2 (2n)! n=1 is absolutely convergent, conditionally convergent, or…

A: We have,

Q: {Vn - Vn +1}

A:

Q: Determine whether the series is convergent or divergent.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…