Inn n2n (* – 3)". n=0

Q: (п+2) Zn=3 (п+1)3 (-1)"п? Ln=1 n2+n+1 (-2)п Zn=1 n2 (-3)п Ln=0 (2n+1)! п10 Ln=1 (-10)п+1

A: (1).  The given series: ∑n=3∞ (n+2)(n+1)3

Q: Determine if the following series is divergent, conditionally convergent, or absolutely convergent.…

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Q: Expand the function in a power series E a„x" with center c = 0. Find a,x". 7+6x n=0 (Express numbers…

A: Radius of convergence of the power series ∑n=0∞anxn is given by, R=limn→∞anan+1 The series ∑n=0∞1np…

Q: Determine whether the alternating series £ (-1)n+1, n3 converges or diverges. n= 1

A: Given alternating series is  ∑n=1∞-1n+13nn3

Q: Give an example of a series that diverges by the Ratio Test

A: Given query is to give and example of series that diverges by ratio test.

Q: 3. Find the interval of convergence for the power series 3" n n=1 Make sure to check the end points…

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Q: Ë (O(k!)(x–1)* k=3

A: Consider the given series as ∑k=3∞15kk!x-1k

Q: A series whose terms alternate between positive and negative is alled a/an series.

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Q: How does the convergence or divergence of a series affect the possibility of bounded summation?

A: The convergence or divergence of a series is closely related to the possibility of bounded…

Q: (-1)" (ntl) 2. n²-3 n-1

A: