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Unformatted text preview: 1 3 3 3 2 3 . a) For what value of c , the function is continuous at x = 3 ? b) Let c = 5 . Is the function differentiable at x = 3 ? Why? Question 6.  The given limit lim x x x x + --1 4 2 1 represents the derivative of a function f at a point a . State a function f and a . Hint: The difference quotient is expressed in the form: f x f a x a ( ) ( )--Question 7. Consider the function f(x) given by f x x x if x x if x ( ) = +-< + 1 3 3 2 3 a)  If t < 1 , then f t ( ) ............ 4-= . (Give the answer only) b)  Find the limits lim ( ) x f x + 3 and lim ( ) x f x -3 . If a limit does not exist, determine whether it is + ,- or neither. c)  Is the function continuous at x = -2 ?...
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