n=1 n! (x - 10)³n gn

Q: hス64/ 43h (2x+14)*

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Q: (x-4)" 6" n n=1 IM

A: See the detailed solution below.

Q: 8 Σ (2x)" n = on + 4

A: The summation of the (2x) n/(n+4), n from 0 to infinity.

Q: 1 Σ n%3D1 n

A: The given series is ∑n=1∞1n-1n2n To find: Find convergence or divergence of the series.

Q: Find the interval of convergence of (x - 15)2n+1 6n + 1 00 Σ n=15 (Use symbolic notation and…

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Q: Choose the true statements about a convergent series.

A:

Q: Find the interval and radius of convergence of the power series

A:

Q: 3- (4z-5)" 5"

A: Given: ∑n=0∞4x-5n5n

Q: +3)(n+4) n!

A: We use p-series test and limit comparison test to determine the convergence of the given series.

Q: n=1 (4x-1)" n2

A:

Q: Find the power series and the interval of convergence

A: Given Function: fx=e-x22. To find: The series of the function and also find the radius of…

Q: (x – 1)" - n=1 n(-8)n The series is convergent from x = left end included (enter Y or N): to x =…

A: Given series is  Summation n = 1 to infinity ( x - 1 )n/n( -8)n  Replace x - 1 by t. So, here nth…