Use the Root Test to determine the convergence or divergence of the given series or state that the Root Test is inconclusive. 1 1+ 3n L = lim Va| (Enter 'inf for oo.) n 00 E, (1++) " is: OA. convergent OB. divergent OC. The Root Test is inconclusive is: 3n

Q: Σ(51) k

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Q: 2" + 7" Determine whether the series 9h converges or diverges. If it converges, find its sum. n = 1…

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Q: Expand the function , in a power series anx" with center c = 0. Find a„x". 8+7x %3D n=0

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Q: Find a power series for f(x) =

A: Given,          f(x)=6x(x2+1)2,   x<1

Q: 2n 5n – 1 Consider the series Evaluate the the following limit. If it is infinite, type "infinity"…

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Q: ivergent and which test is used?

A: Here we have to find convergent or divergent and which test is used. g) ∑n=1∞6nn! h)…

Q: What is the interval of convergence for power series 2" E (x +5)"? 3n+1 n=1

A: Given apply ratio test

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 00 n! 86 n = 1…

A: See the detailed solution below.

Q: Determine the convergence or divergence of the series. Σ 910 O converges O diverges Submit Answer 9.…

A: Step 1: solution Step 2: Step 3: Step 4:

Q: (– 1)"(x+2)" What is the interval of convergence for the series 2 n=1 О.[-6,2) O b.(- 6,2] Oc[-6,–…

A: The correct answer is option B. The given series is  ∑n=1∞-1nx+2n4nn The ratio test will be given by…

Q: (14) 4. Decide if the series k(2+2i)* 3k converges or diverges. Explain your answer and specify…

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Q: 00 Use the equation E x" for |x| < 1 to expand the function in a power series with center c = -7.…

A: 11-x=∑n=0∞xn for x&lt;1 to expand the function 91-x in a power series with center c=-7