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Unformatted text preview:  f  is continuous everywhere. 3. Find a function that is discontinous at 1 , 1 2 , 1 3 , 1 4 , ··· but continuous at all other points. 4. Find a function that is discontinous at 1 , 1 2 , 1 3 , 1 4 , ··· and a at 0, but continuous at all other points. 5. Prove that if f is continous at a then  f  is also continous at a . 6. Suppose that f satisﬁes f ( x + y ) = f ( x ) + f ( y ) and f is continous at 0. Prove that f is continous at a for all a . 1 suggestion: Do not spend too much time reading the proofs of Theorems 9, 10 and 11 in Chapter 7. 1...
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This note was uploaded on 01/10/2011 for the course EE 100 taught by Professor Razasuleman during the Spring '10 term at University of Engineering & Technology.
 Spring '10
 RazaSuleman
 Electrical Engineering

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