Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![Yn
3
ulal 1 YnIn=1
*24. Suppose g : [a, b] → R is bounded and continuous except at x1,..., X, E [a, b]. Prove that
g E R(x) on [a, b].
*25. Suppose {a„}=1 is a sequence of members of [a, b] converging to x, in [a, b]. If f is bounded
on [a, b] and continuous on [a, b] except at xo and the points of the sequence {a„}-1, prove
that f is integrable on [a, b].](https://content.bartleby.com/qna-images/question/c9e98fa3-11a8-4dae-ae94-890fe707821d/acdc3762-cfd0-4318-bba6-2ee8b5d72adb/79z5wq9_processed.jpeg)
Transcribed Image Text:Yn
3
ulal 1 YnIn=1
*24. Suppose g : [a, b] → R is bounded and continuous except at x1,..., X, E [a, b]. Prove that
g E R(x) on [a, b].
*25. Suppose {a„}=1 is a sequence of members of [a, b] converging to x, in [a, b]. If f is bounded
on [a, b] and continuous on [a, b] except at xo and the points of the sequence {a„}-1, prove
that f is integrable on [a, b].
![* 7. Suppose g : [a,b] → R is continuous except at xo E (a, b) and bounded. Prove that
8 E R(x) on [a, b]. See Exercises 24 and 25 for generalizations of this result.](https://content.bartleby.com/qna-images/question/c9e98fa3-11a8-4dae-ae94-890fe707821d/acdc3762-cfd0-4318-bba6-2ee8b5d72adb/ebza5bd_processed.jpeg)
Transcribed Image Text:* 7. Suppose g : [a,b] → R is continuous except at xo E (a, b) and bounded. Prove that
8 E R(x) on [a, b]. See Exercises 24 and 25 for generalizations of this result.
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