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

Expert Solution

milcah answered 2 years ago

1- Show that (n^3+3n^2+3n+1) / (n+1) is O (n2 ). Use the definition and proof of...

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def seq3np1(n): """ Print the 3n+1 sequence from n, terminating when it reaches 1. args: n...

def seq3np1(n): """ Print the 3n+1 sequence from n, terminating when it reaches 1. args: n (int) starting value for 3n+1 sequence return: None """ while(n != 1): print(n) if(n % 2) == 0: # n is even n = n // 2 else: # n is odd n = n * 3 + 1 print(n) # the last print is 1 def main(): seq3np1(3) main() Using the provided code, alter the function as follows: First, delete the print statements...

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)]

what is the radius of convergence for sum {0} to {infinity} x^3n / 27^n

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....

Question

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

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1- Show that (n^3+3n^2+3n+1) / (n+1) is O (n2 ). Use the definition and proof of...

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