Let an Does {4,} converge? Does a, converge? In +1 Give an example of a divergent seriesE, where lim a, = 0. Does there exist a convergent series a, which satisfies_ lim a, 4 0? Explain. When does a series converge absolutely? When does it converge conditionally? State the ratio test. State the root test.

Q: 9.

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A: Expressing terms as a telescoping sum:∑n=4∞ 8n2-14∑n=4∞ 2(n+1)(n-1)4∑n=4∞ 1n-1-1n+1∑n=4∞…

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Q: use the ratio test to determine whether the series is convergent or divergent. identify an.

A: Using the ratio test,  we will determine whether the series is convergent or diverges

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Q: (-5)"

A: According to question given ∑n=1∞-5nn2

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Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find its…

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Q: determine whether the geometric series converges or diverges. If a series converges, find its sum.

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