Let An=-1n,2+1n and A=∩n=1∞-1n,2+1n=a,b Since, Ai⊃Aj whenever j<i, we can find A by simply taking…

Answered: Prove that 80

Advanced Engineering Mathematics

10th Edition

ISBN: 9780470458365

Author: Erwin Kreyszig

Publisher: Wiley, John & Sons, Incorporated

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Expert Solution

Step 1

Let $A_{n} = (- \frac{1}{n}, 2 + \frac{1}{n})$ and $A = \cap_{n = 1}^{\infty} (- \frac{1}{n}, 2 + \frac{1}{n}) = [a, b]$

Since, $A_{i} \supset A_{j}$ whenever $j < i$ , we can find $A$ by simply taking the limits, if they exist, of the end points of the integral.

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