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Unformatted text preview: the expressions become more complicated. For example, if x 1 is a root of multiplicity two, then for 1 p ( x ) = B xr 1 + C ( xr 1 ) 2 + A 2 xr 2 + + A n1 xr n1 A k is still given by 1 p ( r k ) , but C is given by lim x r 1 ( xr 1 ) 2 p ( x ) = 2 p 00 ( r 1 ) where LHospitals rule has been used twice, and B is given by lim x r 1 xr 1 p ( x )C xr 1 =2 p 000 ( r 1 ) 3 p 00 ( r 1 ) 2 where LHospitals rule has been used three times and the value of C has been substituted in. 1...
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This note was uploaded on 02/05/2011 for the course MATH 1A taught by Professor Wilkening during the Spring '08 term at University of California, Berkeley.
 Spring '08
 WILKENING
 Calculus, Fractions

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