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June 26, 2016
Posted by **mel gibbs** on Thursday, April 25, 2013 at 7:04am.

- math -
**Steve**, Thursday, April 25, 2013 at 11:26am(5x+2)/(2x-1)(x+1)

= 3/(2x-1) + 1/(x+1)

Now, think of geometric series where the infinite sum is

S = a/(1-r)

3/(2x-1) = -3/(1-2x) = -3(1+(2x)+(2x)^2 + (2x)^3)

= -3(1+2x+4x^2+8x^3)

= -3 - 6x - 12x^2 - 24x^3

Similarly for 1/(x+1) so we end up with

-2 - 7x - 11x^2 - 25x^3 - ...