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Unformatted text preview: ) fail to be continuous? (h) For what values of x does the derivative do not exist? 7 (6) Given the function g ( x ) as the following ﬁgure: Determine the following (if it exists): (a) lim x →2 g ( x ) (b) lim x → g ( x ) (c) g (0) (d) lim x → 2g ( x ) (e) lim x → 2 + g ( x ) (f) g (2) (g) For what values of x does g ( x ) fail to be continuous? (h) For what values of x does the derivative do not exist? 8 (7) Find f (2) by using the limit deﬁnition of the derivative at a point. (a) f ( x ) = (3 x7) 2 (b) f ( x ) = 9 x + 4 (c) f ( x ) = x + √ 2 x 9 (8) Find the points where the derivative does not exist. (a) f ( x ) =  2 x5  (b) f ( x ) =  x 24  (c) f ( x ) = ± x 2 , x ≤ 1 2x, x > 1 (d) f ( x ) = ± x 31 , x ≤ 2 3 , x > 2...
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 Spring '09
 N/A
 Calculus, lim, #, Continuous function, Polytechnic Institute of NYU MA

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