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Unformatted text preview: f ( c ) exists (iii) lim x → c f ( x ) = f ( c ). A function is continuous on the interval a < x < b if it is continuous at each point on the interval. Example 4. Discuss the continuity of the function f at x =1 , , 1 and 2. Example 5. Discuss the continuity of each function at the indicated point(s). (a) f ( x ) = x + 1 at x = 1 (b) g ( x ) = x 24 x2 at x = 2 (c) h ( x ) = √ x at x =1 (d) k ( x ) =  x  x at x = 1 (e) j ( x ) = x 1 3 at x =1. 3...
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 Fall '09
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 Math, Calculus, Topology, lim, Continuous function, Limit of a function

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