The integral _1^ 1 x

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

The integral ∫1∞1x dx\int_1^{\infty} \frac{1}{x}\, dx diverges. In one or two sentences, explain why this occurs even though 1/x→01/x \to 0 as x→∞x \to \infty.

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