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## Homework Statement

Use the MacLaurin series for e^x and ln (1+x) to show that;

[tex] \frac{1}{1*2}+\frac{1}{2*3}+\frac{1}{3*4}...= 1 [/tex]

## Homework Equations

[tex] e^{x}= 1 + x + \frac{x^{2}}{2!}+\frac{x^{3}}{3!}....[/tex]

[tex]ln(1+x)= x - \frac{x^{2}}{2}+\frac{x^{3}}{3}...[/tex]

## The Attempt at a Solution

Well i'm not really sure how to go about this really, any sort of guidance would be great. Obviously it's in the form 1/n(n+1) but i'm not sure really :<