How do you determine the convergence or divergence of an improper integral, and what are the most effective methods to solve them, especially when limits do not exist at the endpoints of the interval?
Answer 1
Jeremiah Freeman MD
To determine the convergence or divergence of an improper integral, you can use comparison tests, limit comparison tests, or the p-test. Evaluate the integral by breaking it into limits. If the integral diverges at any limit, the entire integral diverges. The most effective methods include substitution, partial fractions, and numerical approximation.
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