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Mastering Improper Integrals and Infinite Limits

Learn to evaluate limits at infinity, handle vertical asymptotes, and distinguish between converging and diverging integrals effectively. This lesson covers essential strategies and examples to deepen your understanding.

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Mastering Improper Integrals and Infinite Limits

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  1. 7.8 Improper Integrals

  2. Infinite Limits OR

  3. NOTE:

  4. Ex 1: Evaluate.

  5. Ex 2: Evaluate.

  6. Limits at Infinity If f(x)has a VA at b:

  7. Limits at Infinity If f(x)has a VA at a:

  8. Limits at Infinity If f(x) has a VA at a & b, use the following, then apply the first 2 rules:

  9. Ex 3: Evaluate.

  10. If the limit exists, then the integral CONVERGES. • If the limit DNE, then theintegral DIVERGES.

  11. HW: 7.8 pg. 531# 5 – 37 EOO

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