The text in the image appears to be a mathematical problem involving series and convergence. The transcribed content is as follows: \[ \sum_{n=1}^{\infty} \frac{a^n}{(n!) \ln(n)} (x+3)^n \] Find the radius and interval of convergence.

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Q: Find the interval of convergence for 2 (k + 5) 2* а) O[-3, 3] b) O[-1, 1] c) O (-2,2] d) O[-2, 2) e)…

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Q: Petomim whemer mi sunes conmerges If it hnd ti r Conver dhverget. um. -n-2 n² + Tn 12 n=1

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Q: using divergence of Specifie Convergence or 5n3 やこ1

A: Limit form comparison test:-  let ∑n=1∞Un  and ∑n=1∞Vnbe two series of positive termssuch that…

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Q: What is the radius of convergence for 2 (x- 2)" :? n=0 22n-1/n+3 OR=4 OR= 0 OR=0 1 R = 4

A: According to the ratio test, a series ∑n=1∞an 1. Converges if limn→∞an+1an=L      such that L<1…

Q: Find the radius of convergence for: (n!)²a' Σ (2n)! Preview

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Q: Find the interval of convergence for 2 (-1)*3*x* gk+1 1 1 a) o[- а) b) O(-9,9) c) O[- 3,3] d)…

A: Option E will be the right answer.

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Q: 14) Test the secies for convergane divergence or 2. (-1)"

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Q: 8) FIND THE INTERVAL OF CONVERGENCE (-1)"x' n 2n FOR 글지 n=2 ||

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Q: +∞ W k=1 - k 7/4 x Ink 2 K²

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Q: 100 n=1 2

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Q: αn = 2^n + 3 · 5^n / 4^n + 5^n  where  n = 1, 2, . . . . Show that {αn} con

A: Convergence of a sequence: Let an is a sequence and limit n→∞ of the function an is limn→∞an=p. Then…

Q: So I worked out the question. And I got the below setup. And I got the interval of convergence as…

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