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Unformatted text preview: = Introduction to Limits Def. We write lim x ! a f ( x ) = L if we can make the values of f ( x ) arbitrarily close to L by taking x sufciently close to a (on either side of a ) but not equal to a . We say that f ( x ) as x ex. Let f ( x ) = x 2 1 x 1 : To nd lim x ! 1 f ( x ) : 1) use a table of values x f ( x ) x f ( x ) 2) Sketch the graph of f ( x ) = x 2 1 x 1 . 6? lim x ! 1 f ( x ) = Now consider g ( x ) = 8 < : x 2 1 x 1 x 6 = 1 3 x = 1 Sketch the graph of g ( x ) : 6? lim x ! 1 g ( x ) = NOTE: lim x ! 1 f ( x ) = lim x ! 1 g ( x ) but f (1) = and g (1) =...
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 Spring '08
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