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True and False Practice – Chapter 2 2x 8 2x 8 1) x 4 x 4 xlim4 x 4 xlim4 x 4 . lim x4 x 2 6x 7 lim x 2 6 x 7 x 1 2) lim = . x 1 x 2 5x 6 lim x 2 5 x 6 x 1 x3 lim x 3 x 1 3) lim = . x 1 x 2x 4 2 lim x 2 2 x 4 x 1 4) If lim f ( x) 2 and lim g ( x) 0 , then lim [ f ( x) / g ( x) ] does not exist. x 5 x 5 x 5 5) If lim f ( x) 0 and lim g ( x) 0 , then lim [ f ( x) / g ( x) ] does not exist. x 5 x 5 x 5 6) If lim [ f ( x) g ( x) ] exists, then the limit must be f (6) g (6) . x 6 7) If p is a polynomial, then lim p( x) p ( b ) x b 8) If lim f ( x) and lim g ( x) then the lim [ f ( x) g ( x)] 0 . x 0 x 0 x 0 9) A function can have two horizontal asymptotes. 10) If f has domain [ 0 , ) and has no horizontal asymptote, then lim f ( x) or x lim f ( x) . x T/F Practice – C2 Page 1 of 2 11) If the line x = 1 is a vertical asymptote of y = f(x), then f is not defined at 1. 12) If f (1) 0 and f ( 3) 0 , then there exists a number c between 1 and 3 such that f(c) = 0. 13) If f is continuous at 5 and f ( 5) = 2 and f (4) = 3, then lim f (4 x 2 11) 2 x 2 14) If f is continuous on [ -1, 1 ] and f (-1 ) = 4 and f (1 ) = – 3, then there exists a number r such that | r | < 1 and f (r ) = 15) Let f be a function such that lim f ( x) 6 . Then there exists a number such that if x 0 0 | x | then | f ( x ) 6 | 1 . 16) If f ( x ) 1 for all x and lim f ( x) exists, then lim f ( x) 1 . x 0 x 0 17) If f is continuous at a , then f is differentiable at a. 18) If f ' ( r ) exists, then lim f ( x) f ( r ) . x r 2 d2 y dy 19) dx 2 dx 20) The equation x10 – 10 x 2 + 5 = 0 has a root in the interval ( 0, 1 ) T/F Practice – C2 Page 2 of 2

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posted: | 3/26/2013 |

language: | Latin |

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