Exercise 4.1 Find the radius and interval of convergence for the following series. 1. En-1 n+1 2. E(-1)"x" 3. Σ. Lin=1

Q: B 4a X A 66° 20

A: The given figure is -  We have to find the value of 'x'.

Q: 3 (8) ) (2n)! n=1

A: The given infinite series is: Let Ratio test for convergence of infinite series states that if…

Q: 2. Determine if the series converges absolutely, c a. E-1(-1)" (-1)7-1 c. E=1(-1)" n+2

A: These series are alternating series test  So for convergence first we apply this test  In which if…

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

A: Answer is mentioned below

Q: Σ3" 6.6 Find the function represented by the power series 3nt > E". Determine its interval of…

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Q: а. f(x) = 1– 4x? 4 b. f(x) = 2х + 3 X С. f(x) .2 2х + 1 (2х — 1)" |

A: According to the guidelines, the first 3 questions will be answered.

Q: 10. Find the radius of convergence and interval of convergence of the series 2"n²a". n=1

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Q: . Find the sum below and the interval of convergence as well as the radius of convergence. (a) f(x)…

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