Comparison Test for Divergence
If:
$$0\leq g(x)\leq f(x)$$
for sufficiently large $$x$$ and:
$$\int_a^\infty g(x)\,dx$$
diverges, then:
$$\int_a^\infty f(x)\,dx$$
also diverges.
Usage
- Used to prove divergence by comparison with a known divergent integral.