I need to test the series ∑_(n=1)^∞〖(-1)^(n+1) 1/(n+2x^2 )〗 x in R for absolute, pointwise and uniform convergence. I am unsure about absolute convergence. I thought about using the comparison test and the idea that 1/n+2x^2 > 1/n and so diverges. Is this correct? I'm not sure how to go about pointwise convergence, but if shown, then I am sure I would be able to prove if it is uniformly convergent or not. Thanks in advance.