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Comparison Test for Improper Integrals
If:
$$0\leq f(x)\leq g(x)$$
for sufficiently large $$x$$ and:
$$\int_a^\infty g(x)\,dx$$
converges, then:
$$\int_a^\infty f(x)\,dx$$
also converges.
Usage
- Used to establish convergence without evaluating the integral exactly.
