1. ## reimann sum

SUM n_infinity (n^2 - 1)/(3n^4 + 1)

can u identify what series this is, also if this converges or diverges.

thanks for any help.

2. Originally Posted by rcmango
SUM n_infinity (n^2 - 1)/(3n^4 + 1)

can u identify what series this is, also if this converges or diverges.

thanks for any help.
Use the "Limit Comparison" Test with n^2/n^4 = 1/n^2

Since,

SUM (1/n^2) converges by p-series test.
Thus does this one.

And this IS NOT a Riemann sum.