This is part of an alternating series and I need to prove that it converges conditionally. The only condition I am stuck on is proving that it's decreasing.
This is part of an alternating series and I need to prove that it converges conditionally. The only condition I am stuck on is proving that it's decreasing.
$\displaystyle f(x) = (x^2 + x)^{-.5} f'(x)= -.5 (x^2 + x)^{-1.5} (2x + 1) x > 0 $
so clearly the first derivative is negative, hence decreasing.