Tell whether or not you can (a Hernating series test) Enter D if the series diverges by this test Enter Cif the Series converges by this test Enter N if you can NOT apply this test. 1) 2 (-1)^ (n¹0+1) en n=1 2) n=1 (-1)^ (n²+1) n347 3) % (-1) h h5 n=1 (4) % (-1)" (n³+1) REI n4+1 (5) & (-1)" cos (n) n² n=1 71264+2, ∞ apply the 3-condition test

Q: Real Analysis I am proving that the telescopic series (a1-a2)+(a2-a3)+. . . converges IFF the…

A: To discuss rigorously the convergence and divergence of a telescopic series

Q: IM: Determine if the following series converge or diver 1. ΣΤ 2. E xn 2n+1 i=1 V3n+1 i=1 3. Σ (2л —…

A:

Q: Determine which test can be used to show that the series (a) Geometric Series Test (b) p-Series Test…

A:

Q: 100 m=1 (2n)!

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Consider the series below. Σ (-1) +1 n=1 Use the Alternating Series Estimation Theorem to estimate…

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Q: (3k³ + 4)(7k² + 1) (2k³ + 1)(4k³ – 1) 21. E k=1

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Q: Determine the behavior of the following SERIES. (4n²+5)" (3n+ 1)2n The series n=1 The series Σ(-1)",…

A: To Determine: The behavior of the following SERIES. 1. ∑n=1∞4n2+5n3n+12n 2. ∑n=1∞-1n 1ln n 3.…

Q: Use any test for convergence/divergence to show that the series converges. V12(-1)" 3" (2n + 1) 00…

A: This is a problem of series.

Q: (x - 4)" Consider the power series and choose the correct 3" n=0 options below. • The center of the…

A: In the question it is asked to find solution for the given series.

Q: Given the power series E (n - 3)(n + 1) A, x" n = 1 Use the technique that we covered in this lesson…

A: Given series is ∑n=1∞(n-3)(n+1)A2nxn

Q: Write an equivalent series of the series n = 4₁ Select one: O b. O a. O C. d. e. M8 M8 M8 M8 IM = 4…

A: The given series .The objective is to rewrite the series that begins at .

Q: Determine whether the series converges or used. Explain diverges. State the test you you reasons why…

A: