1. Determine whether the improper integral converges \( \int_{2}^{\infty} \frac{1}{x^{3}} dx \)
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Step 1: Rewrite the improper integral as a limit of a definite integral: \int_2^(\infty ) (1)/(x^(3))dx = lim_{b->\infty} \int_2^(b) (1)/(x^(3))dx Show more…
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