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Unformatted text preview: x = 1 . 1 and x = 1, we ﬁnd: (a) For f ( x ) = 1 + x 2 , 1 + ( x ) 2 ≈ (1 + x 2 ) + 2 x · ( xx ) = 1 + 1 2 + 2(1)( . 1) = 2 . 2 Compare to the actual value f (1 . 1) = 1 + 1 . 1 2 = 2 . 21. 4 (b) For f ( x ) = √ x , √ x ≈ √ x + 1 2 √ x · ( xx ) = √ 1 + 1 2 √ 1 ( . 1) = 1 . 05 Compare to the actual value f (1 . 1) = √ 1 . 1 = 1 . 049 . 5...
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This note was uploaded on 04/09/2008 for the course ECON 401 taught by Professor Kuhn during the Winter '08 term at University of Michigan.
 Winter '08
 KUHN

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