series from n=1 to infinity of (4n) / [ (3n^3/2) +7n -9]. the answer should include...

series from n=1 to infinity of (4n) / [ (3n^3/2) +7n -9]. the answer should include if its converging or diverging by which method

Expert Solution

milcah answered 1 year ago

Determine if ∑(-1)^n/(4n-7), n=0 to infinity, absolutely or conditionally converges or diverges?

a) Prove that n 3 − 91n 2 − 7n − 14 = Ω(n 3 )....

a) Prove that n 3 − 91n 2 − 7n − 14 = Ω(n 3 ). Your answer must clearly specify the constants c and n0. b) Let g(n) = 27n 2 + 18n and let f(n) = 0.5n 2 − 100. Find positive constants n0, c1 and c2 such that c1f(n) ≤ g(n) ≤ c2f(n) for all n ≥ n0. Be sure to explain how you arrived at the constants.

Derive the Sackur-Tetrode equation starting from the multiplicity givenin Ch. 2: Ω =(1/N!)(V^{N}/h^{3N})(pi^{3N/2}/3N^{2}!)(2mU)^{3N/2} The Sackur-Tetrode equation...

Derive the Sackur-Tetrode equation starting from the multiplicity givenin Ch. 2: Ω =(1/N!)(V^{N}/h^{3N})(pi^{3N/2}/3N^{2}!)(2mU)^{3N/2} The Sackur-Tetrode equation is: S=Nk[ln((V/N)((4pi*m*U)/(3Nh^{2}))^{3/2})+(5/2)]

convergent or divergent infinity sigma n = 1 sqrt(n^5+ n^3 -7) / (n^3-n^2+n)

1. Prove or Disprove: If n is a nonnegative integer, then 5 | (24n + 39n)

1. Prove or Disprove: If n is a nonnegative integer, then 5 | (2*4n + 3*9n)

1. Test the series below for convergence using the Root Test. ∞∑n=1 (2n/7n+5)^n The limit of...

1. Test the series below for convergence using the Root Test. ∞∑n=1 (2n/7n+5)^n The limit of the root test simplifies to lim n→∞ |f(n)| where f(n)= The limit is: Based on this, the series Diverges Converges 2. Multiple choice question. We want to use the Alternating Series Test to determine if the series: ∞∑k=4 (−1)^k+2 k^2/√k5+3 converges or diverges. We can conclude that: The Alternating Series Test does not apply because the terms of the series do not alternate. The...

Find the value of ∑(−1)^n/(3n+1) from n=0 to ∞

Show that in Dirac's equation, matrices have dimensions of 4n, where n= 1, 2, 3...

Find the first five terms of the following sequence, starting with n=1. an=−4n−3 Give your answer...

Find the first five terms of the following sequence, starting with n=1. an=−4n−3 Give your answer as a list, separated by commas. For example, if an=n, you would give your answer as 1,2,3,4,5.

6a. Show that 2/n = 1/3n + 5/3n and use this identity to obtain the unit...

6a. Show that 2/n = 1/3n + 5/3n and use this identity to obtain the unit fraction decompositions of 2/25 , 2/65 , and 2/85 as given in the 2/n table in the Rhind Mathematical Papyrus. 6b. Show that 2/mn = 1/ (m ((m+n)/ 2 )) + 1/ (n ((m+n)/ 2 )) and use this identity to obtain the unit fraction decompositions of 2/7 , 2/35 , and 2/91 as given in the 2/n table in the Rhind Mathematical Papyrus....

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