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Unformatted text preview: If ( ) f x is continuous then, ( 29 ( 29 lim ( ) lim ( ) x a x a f g x f g x x = . 2 removable Two types of discontinuity gap nonremovable infinity3 Example 2 : Discuss the continuity of each function: (a) ( ) 2 f x x =(b) 2 5 1 2 ( ) 1 2 3 x x g x x x=< (c) 2 2 if 1 ( ) if 1 x x f x x x + = (d) The greatest integer function x at 1 x = .greatest integer such that . x n n x = 4 Example 3 : Determine where the function 2 2 1 ( ) 2 15 x f x x x + =is discontinuous. 5...
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 Spring '08
 FAN
 Calculus, Continuity

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