Given f(x)=∑n=1∞sin(nx)n2f(x) = \sum_{n=1}^{\infty} \frac{\sin(nx)}{n^2}f(x)=∑n=1∞n2sin(nx), which statement describes f(x)f(x)f(x)?
Continuous everywhere, but differentiable nowhere
Continuous everywhere and differentiable everywhere
Continuous everywhere, but not differentiable at x=2kπx = 2k\pix=2kπ
Not continuous at any point