Use the inequality in (2) to approximate (-1)*+1 n! n=1 to four decimal places.

Q: Find the interval and radius of convergence for: (-1)" k" n=0

A:

Q: Find the interval of convergence of ∞∑n=0 (x−2)^n/n+ 3

A:

Q: find the interval of convergence.

A: Apply ratio test and check weather series is convergent or divergent.

Q: Find the interval of convergence n!x" (2n)! n=

A: We have to check weather the given series is convergent or divergent.

Q: Find the radius of convergence for: n°x" 3n n=D1

A:

Q: find the interval of convergence.

A:

Q: 4. Find the interval of convergence E (2x+3)"

A: Here we have to find the interval of convergence ,  ∑n=0∞(2x+3)n

Q: Find the interval of convergence. (x + 5)" Σ (n In(n))² n=2

A: To Find: Interval of convergence of given series…

Q: Find the interval of convergence : En-0 (x-3)"

A: Apply ratio test to find the interval of convergence. When L<1 then series converges and When…

Q: Find the interval of convergence of 5 (x - 9)" In (5n) n=2

A: Solution of question is written in below steps.

Q: Find the radius of convergence for: 3"r" n!

A:

Q: Find the radius of convergence and the interval of convergence. (x – 3)* 2k 00 k=0 1)

A:

Q: find the interval of convergence.

A:

Q: Find the interval of convergence 2 n(n + 1)(x – 2)" n=0

A: Given series is ∑n=0∞n(n+1)(x-2)n

Q: Find the radius of convergence for n! x". 1. 3·5 . ... · (2n – 1) ** | n=1

A: SOLUTION-

Q: 2) Determine the interval and radius of convergence of 2 '(x+5)** (2n +1)! 34n-1 n=0

A:

Q: Find the radius of convergence for: (-1)"x" √n +7 n=1

A:

Q: Find the interval of convergence of ) n°x" and find its sum. n=1

A:

Q: 5η X b) Σπ n! n=0 8

A: Given series is ∑n=0∞x5nn!

Q: Find the interval of convergence of E(-1)". n 2n 36" n=0

A:

Q: п(х — for -1)" n(x – 4)" 2n n3D0 8.

A:

Q: Find the radius of convergence for: ∞∑n=1 n^6x^n/3^n

A:

Q: Find the interval of convergence: n³ (x + 5)" 6n n=1

A:

Q: tx Σ 5 (-1)"(x+3)" n2n n=1

A:

Q: find the interval of convergence.

A:

Q: 8. Use the Integral Test to determine whether k4 Σk5 +55 k=1 converges.

A: Solve the following

Q: find the interval of convergence.

A: According to ratio test, If L<1 then the series is convergent.

Q: Find the radius and interval of convergence for (-1)"(x – 1)" n4" n=1

A:

Q: find the interval of convergence.

A:

Q: determine the interval and radius of convergence 1 Z-3)2+"(n² + 1) (4x - 12)" n=0

A:

Q: Find the radius of convergence for: (2n) !æ" n=1 n2n

A: Recall: Radius of convergence: Consider the power series           ∑n=0∞an(c-a)n, then the radius of…

Q: Find the interval of convergence of 2' > n(n + 1)(x – 2)" n=0

A:

Q: Find the interval of convergence of E n(x – 8)" n=2

A:

Q: Determine the interval of convergence of n=1 (x - 5)" n²

A:

Q: The radius of convergence (2n + 3)! (x- 1)" is | None of these infinity

A: Given ∑n=0∞(2n+3)! (x-1)n Compare it with ∑n=0∞ an(x-x0)n Then an = (2n+3)!an+1 = (2(n+1)+3)! =…

Q: What is the radius of convergence for n2/(4n+3n)

A:

Q: Find the radius of convergence for: (n!)°a" (2n)! n=1

A:

Q: Use the root test to find the radius of convergence for 9n² – 1 Σ n² + 8 n=1

A: we have to use the root test for evaluating the radius of convergence for ∑n=1∞9n2-1n2+8nxn root…

Q: Find the interval of convergence for 3x+1 Σn(n+1)*

A: Given series is ∑n=1∞3nxn+1n(n+1)

Q: Find the interval of convergence of (3x)^n/(2n)!

A:

Q: 5). Find the interval of convergence. ∞ n = 0 xn n7 + 8

A: Introduction: A power series can either be convergent everywhere or can be convergent over a…

Q: (x – 3)" 2n +1 - Determine the interval of convergence of n=1

A:

Q: x" n n=0 n2

A:

Q: 8) FIND THE INTERVAL OF CONVERGENCE FOR Σ (-1)" x 1=2 n2^ n

A: The given series: ∑n=2∞-1nxnn2nWe need to find the interval of convergence.

Q: Find the interval of convergence for  ∑∞ n=2 (x^n)/((n^2)(3^n))

A:

Q: Use the root test to find the radius of convergence for n 1 x". n - 8n + 5 n=1

A:

Q: Find the radius of convergence for п! Σ x". 1· 3· 5. ... · (2n – 1) n=1

A:

Q: Find the radius of convergence

A: To find the radius of convergence for the series             ∑n= 0∞-1nx2n + 12n + 1!  ...(1)…

Q: The interval of convergence of +o B(x+7)“ is

A: Given, ∑n=0∞8(x+7)n3n