The largest circle in the accompanying figure has radius 1. Con- sider the sequence of circles of maximum area inscribed in semi- circles of diminishing size. What is the sum of the areas of all of the circles?

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Q: (a) Give an example of a nonconstant complex sequence that converges to 5 + 2i.

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Q: Find the limit of the sequence. 7n2 an n2 + 9 %3D

A: limn→∞ 7 n2n2 + 9 = ∞ so, we want limn→∞ 7n2n2 + 9

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Q: п (4x)“ a ) Σ 2 п п-1 8

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A: Radius of convergence

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Q: An COS NTT n+ 1

A: Answer: The solution is as given below:

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Q: Find the radius of convergence for n! Σ x". пп n=1 Preview

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Q: 3. Find the limit of the sequence 12n5 6n5 +47 :} or determine that it diverges.

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Q: find the limit of the sequence and find if the sequence converge. Show calculations.

A: Consider the limit 6ne−n

Q: Find the radius of convergence

A: our objective is to find the radius of convergence .

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Q: Find the limit of the sequence. 3n2 an n2 + 9

A: an=3n2n2+9 if limn→∞an=L then the sequence is converges if limn→∞an=∞ then the sequence is diverges…

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