6" +3 2 (-1)"-1b, where b= n=1 (n+ 3) 9"+4 a) Find and simplify bn+1 bn b) Test the given series for convergence.

Q: (п +2)(х — 3)" Find the values of z for which the series2(-1)". п(n + 1)5" converges.

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Q: 5. In the 1910's, the Indian mathematician Srinivasa Ramanujan discovered the formula V8 9801 k=1…

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Q: 5"x3n Find the sum of the series: >(-1)" n! n=0

A: see below the answer and calculation

Q: Find the interval and radius of convergence of the series whose nth term is 3+n 2+ 3n

A: I am solving this in step 2

Q: Test for convergence of the series whose nth terms is ((n3 +1)1/3 - n)

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Q: Use any method to determine whether the series converge. 1 (a) E + 14k + 1 This series diverges. k=1…

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Q: Find the sum of the series. (-1)" 82n+1 (2n+1) n = 0

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Q: Find the term of the series 25, 22,20,18- 22,20,18, numerically the smallest. which is

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Q: Use any method to determine if the series (Зп)! (n!)³ n=1 converges or diverges. Show your work.

A: To find the Converges or Diverges of the given series.

Q: If the series >(-1)" a, is convergent and the seies is convergent then an n=1 n=1 we said the series…

A: To find the convergence of given series.