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8th Edition
Chapter 10, Problem 9
Answered step-by-step
Verify that the infinite series diverges.
$$
\sum_{n=1}^{\infty} \frac{n}{n+1}=\frac{1}{2}+\frac{2}{3}+\frac{3}{4}+\frac{4}{5}+\cdots
$$
Transcript
14 comments
Tristan C.
March 27, 2023
thanks for the help stephen!
Nathan C.
May 20, 2023
Nice explanation Stephen
Charles W.
June 1, 2023
grateful for the breakdown, stephen!
Tricia H.
June 16, 2023
Big thanks, Stephen!
Jason C.
July 5, 2023
Appreciate the insight Stephen
Nicole G.
July 10, 2023
THANKS FOR DIVING INTO THIS INFINITE SERIES PROBLEM STEPHENS EXPLANATION REALLY HELPED ME WRAP MY HEAD AROUND WHY THE SERIES DIVERGES!
Michael M.
July 14, 2023
Great breakdown Stephen's approach made it crystal clear why this infinite series keeps adding up infinitely Much appreciated
Robert B.
July 19, 2023
big thanks for this explanation stephens breakdown totally clicked for me and now i get why this series does not converge!
Thomas J.
August 1, 2023
Super grateful for Stephens breakdown This really helped me understand why this infinite series diverges
Andrea F.
October 13, 2023
thanks for breaking down the divergence of the infinite series super helpful to understand the reasoning behind it
Jerry L.
October 27, 2023
Big ups for the explainer on why this series diverges Mr. Hobbs Truly appreciate the clear breakdown.
James B.
November 2, 2023
Grateful for the heads up on how to verify the divergence of this series Mr Hobbs Your explanation really hits the spot
Kelly H.
November 8, 2023
Thanks for nailing the explanation on why this series heads towards divergence, Mr. Hobbs! It's crystal clear now.
Mark B.
December 9, 2023
props for walking us through the divergence of this infinite series, mr hobbs your breakdown totally rocks!