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Show that the series 1/(1*2)+1/(2*3)+…+1/(n*(n+1)) is conv

Thesis Help Advanced Maths Show that the series 1/(1*2)+1/(2*3)+…+1/(n*(n+1)) is conv

Advanced Maths

Show that the series 1/(1*2)+1/(2*3)+…+1/(n*(n+1)) is conv

Show that the series 1/(1*2)+1/(2*3)+…+1/(n*(n+1)) is convergent by… Show more Here is the homework problem: Show that the series 1/(1*2)+1/(2*3)+…+1/(n*(n+1)) is convergent by noting that 1/(n*(n+1))=(1/n)+(1/(n+1)) and finding a simple expression for the first n terms. What can you infer about the series: 1/(1^2)+1/(2^2)+1/(3^2)+… and 1/(1*2)+1/(3*4)+1/(5*6)? • Show less

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