Ο 0 Σ n=1 O Σ Σ ∞ (4+ (-1)") n=0 n=1 5 Β 2 - √ 2" α [n=1 (n+1) !

Q: Determine whether this series converges, and if so find its sum 1 2 9k² + 3k - 2 n² - 2n k=1 n=3

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Q: Find the sum of the convergent series 8-1+- O 512 64 318

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Q: show

A: We have to determine the sum of the given convergent series.

Q: @ Z 32*h 2-3n FO

A:

Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Lu, by grouping the…

A:

Q: Show whether each of the following series and sequences converges or diverges. If convergent, enter…

A: Divergent test : If limk→∞ ak ≠0 then ∑k=1∞ ak is divergent .

Q: 1 3 1 1 + 72 33 12 + 3 + 1 74 + 1 1 35 + +... 76

A: The given series is .We have to determine whether the series converges or diverges.Consider the…

Q: 53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3…

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: Determine if the following series is convergent or divergent: iM8 8cos² (n) 8n2+4 O O Divergent…

A: The given series .To determine whether the series converges or diverges.

Q: Determine if the following scries converges/diverges: n+ 166 12 – 165 =13

A: We are asked to find the series is convergent or divegent

Q: 00 (3z–4)* 4" n=0

A: Let us consider a power series  ∑n=0∞an(x-a)n . Determine L=limn→∞an+1(x-a)n+1an(x-a)n Then the…