Comparison Test for Divergence

Rarely Tested

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.

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