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Unformatted text preview: 1-h ( x ) = −∞ . ii) lim x → 1 + h ( x ) = −∞ . iii) lim x → 1 h ( x ) = −∞ . A) i) only B) ii) only C) i) and ii) only D) ii) and iii) only E) None of the 3 statements are true. [ 2 ] 5. Recall the following useful fact: The graph of a function is shifted a units to the right if every occurrence of x in its deFning equation is replaced by x − a, where a > . Use the graph of f ( x ) = x | x | and the above stated fact to sketch the graph of the function g ( x ) = x − 2 | x − 2 | and determine which of the following 3 statements are true. i) lim x → 2-g ( x ) = − 1 . ii) lim x → 2 + g ( x ) = 1 . iii) g is continuous everywhere except at x = 2 . A) iii) only B) i) and ii) only C) i) and iii) only D) ii) and iii) only E) All 3 statements are true....
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- Fall '07
- Math, Statements, Continuous function, lim g, lim x csc