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Unformatted text preview: find the values of x where f(x) is discontinuous and state all conditions in part (a) that fail to hold. 2. Given f ( x ) = kx 2 , x " 2 2 x + k , x > 2 # $ % . Find a value for the constant k that will make the function f(x) continuous everywhere: 3. Find the values of x at which f(x) is discontinuous. Use interval notation (if possible) to describe the set of values where f(x) is continuous. (a) f ( x ) = e x x " 2 , (b) f ( x ) = x ln( x ) , (c) f ( x ) = cot( x ) = cos( x ) sin( x ) , (d) f ( x ) = x " 3 x 2 " 2 x " 3 , (e) f ( x ) = x 4 " 3 x 2 + 8...
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- Spring '11