Find the values of p for which the series is convergent. (Enter your answer as an inequality.) n(In(n)) P n = 2

Q: Find all values of p for which the series converges. nP +3 n=1 (A) p> 5 (B) p3 (E) p<5

A:

Q: Find the positive values of p for which the series converges.

A:

Q: Does the geometric series (-0.5)* converge absolutely? k=0

A: Provided a geometric series in the question.

Q: Use any method to determine whether the following series converge absolutely, converge…

A:

Q: (-1)"(х + 3)" Σ n2n n=1

A: Topic:- convergence of a series

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

A: Series

Q: Find all the values of x such that the given series would converge. 8" (х — 5)" n=1 п+5

A: To determine the value of x for which the series converges.

Q: Which one is a conditionally convergent series? None of the given options is correct Ο Σ (-1)" n3 Σ…

A: We have find out from the given option which one is a conditionally convergent series.

Q: n2 Σ (n³ + 4)* k n=1

A:

Q: For which value of p the series n(1 + n converges. ps-2 p22 p2-2 p<2

A:

Q: For what values of x does the series converge​ absolutely?  For what values of x does the series…

A: Notice that                   limn→∞n+1xn+1n+4nxnn+3=limn→∞1+1nxn+11+4nxn1+3n=limn→∞1+1nx1+4n11+3n=x

Q: Determine whether the series converges, and if so, find its sum. E-1(-1)k-1 6k-1

A: topic -  series convergence and divergence

Q: E(-1)" 5n n n=1

A:

Q: 2" (x – 4)" Σ n n + 4 n=1

A:

Q: Find all the values of x such that the given series would converge.

A:

Q: (-1)"(n+ 1)" Does the series converge absolutely, converge conditionally, or diverge? (2n)" n=1

A: We have to check convergence of given series.

Q: Determine whether the series k=1 3\k-1 converges and if so, find its sum.

A:

Q: For what values of x does the series converge conditionally? gn xn Σ n! n=1 None x=-1/8 x=0 x=1/8

A: This question is based on series and convergance concept

Q: Find all the values of x such that the given series would converge. ∞∑n=1  (-1)^n(x^n)(n+4)/(7^n)

A:

Q: 00 (n + 4)x" 2" + n n=0

A:

Q: Determine whether the given series converges or diverges: 00 S(2n)! (n!)2 n=1

A: The ratio test states that: if L &lt; 1 then the series converges absolutely; if L &gt; 1 then the…

Q: Find the values of x for which the series converges.

A: Given series - ∑n=0∞ 3x-4n Expanding the series -  putting n=0,1,2,3....∑n=0∞ 3x-4n  =…

Q: Use the ratio test to determine if the series is convergent: E(-1)" 3 3" n=1

A: The detailed solution is given below Thank you

Q: Does the series converge or diverge?

A: According to p-series test, the series is converges if p&gt;1 and diverges otherwise. Here the…

Q: #1

A: the given series is

Q: Find all the values of x such that the given series would converge. 00 5 11"(x")(n+ 1) (n + 4) n=1

A:

Q: Use the ratio test to determine whether the series converges or diverges. If the test is…

A:

Q: For what values of x does the series converge conditionally? gn xn n! n=1 x=1/8 x=0 None X=-1/8

A:

Q: E (- 1)n*1- Does the series converge absolutely, converge conditionally, or diverge? n = 1 n° +1

A:

Q: Q2. (a) Find the following series interval of convergence and, within this interval, the sum of the…

A:

Q: 00 E-1y"- * + 1 n=1

A: Alternate series test: The alternate series ∑n=1∞(-1)n an is convergent iff: limn→∞ an=0 The…

Q: Use the ratio test to determine whether the series converges or diverges. If the test is…

A: This question is related to sequence and series, we will solve it using ratio test.

Q: Find the values of x for which the series converges.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Σ n=0 If c = 9 and d = 5 then the series is convergent if x

A: Consider the series ∑an. Let L=limn→∞an+1an. Then by ratio test the following holds. If L&lt;1, the…

Q: E 2 > 2 ke-k converges or diverges Determine whether the series

A:

Q: The infinite series)(-1)* is convergent. k=1 a) true b) false

A:

Q: 00 2n=1 (-1)"e¬n

A:

Q: Does the series E(- 1)n+12+h converge absolutely, converge conditionally, or diverge? n= 1

A:

Q: 5) Find the values of a so that the power series (-1)"- n2. 3n converges. n=1

A:

Q: Find the values of p for which the series is convergent. Σ 6 n(In(n)) P n 2

A: Consider the given series.

Q: Q:5) A) Use the definition to determine whether the series converges or diverges 530+2 اسور

A: First I have written the Ratio test for Convergences of a series and show that , given series is…

Q: Find the smallest value of x for which the series (エ+48)” 2!n(n) n=2 is conditionally convergent.

A: Given series is ∑n=2∞(x+48)n2ln(n)

Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 2n Σ…

A: We can test the convergence as below.

Q: +oo 4 Determine if the series > converges or diverges. If it converges, find its sum. n² + 4n + 3…

A: We will solve this question using limit of comparison test.

Q: Find the smallest value of x for which the series (x + 46)" 2'n(n) is conditionally convergent.…

A: Given series is ∑n=2∞(x+46)n2ln(n)

Q: -n? the root test fails to determine if the series E (1+2) * n = 1 converges or diverges Select one:…

A:

Q: e8/n Σ 7 = 1

A: Given query is to find series converges or diverges.

Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) E…

A: