4. Consider the following tests: n-th Term , Integral, Direct Comparison, Limit Comparison, Ratio, Root, and Alternating Series. In each series below, explain whether each test is applicable or why the test does not apply. If the test is applicable, explain what conclusion you can draw from that test. Also, if the series converges, state if the series is absolutely convergent or conditionally convergent. sin(e")+1 (a) Σ (c) (e) Σ, r > 0 2n+(-1)" n3+1 n=1 ( d ) Σ μ n+1 (b) Σ -Η" n%=D1 n=1

Q: Q3. For the following power series: En=125 (4x – 16)" i. Find the radius of convergence, ii.…

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Q: 10. Determine whether the given series converges or diverges. If it converges, find its sum. -2 n=0…

A:

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Q: what is the radius high OF convergence of tar nower senes)

A: follow next step

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A:

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A:

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Q: 3. Decide if the following two series are convergent or divergent (circle), and prove your answer…

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Q: The ratio test: {Pn =Tan+1/anl,p = lim Pn}. If p < 1 the series diverges. True False

A: False.

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A:

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

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