5. (a) Give an example of a function f: R→ R that is discontinuous at 1,..., but is continuous at every other point. (b) Give an example of a function f: R→ R that is discontinuous at 1,,,... and 0, but is continuous at every other point.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Can use basic facts about sequences to solve.

5. (a) Give an example of a function f: R → R that is discontinuous at
1, 2, 3,..., but is continuous at every other point.
(b) Give an example of a function ƒ: R → R that is discontinuous at
... and 0, but is continuous at every other point.
1, 2, 3¹
Transcribed Image Text:5. (a) Give an example of a function f: R → R that is discontinuous at 1, 2, 3,..., but is continuous at every other point. (b) Give an example of a function ƒ: R → R that is discontinuous at ... and 0, but is continuous at every other point. 1, 2, 3¹
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