You will show that the following improper integral converges to 1 (a) Use the Fundamental Theorem to find b 1 1x 2 dx Your answer will contain b (b) Now take the limit as b What does this tell you about the improper integral 00 1dx x

Question: You will show that the following improper integral converges to 1: (a) Use the Fundamental Theorem to find b 1 1x 2 dx. Your

You will show that the following improper integral converges to 1:

00 1dx. x

(a) Use the Fundamental Theorem to find ∫^b₁ 1∕x² dx. Your answer will contain b.
(b) Now take the limit as b → ∞. What does this tell you about the improper integral?

00 1dx. x

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