Unformatted text preview: f1 may not be C 1 if f ( x ) = 0 for some x âˆˆ U . (5) Section 5.4.6 Exercise 22(b). (Hint: let y = p 1 x 1 + Â·Â·Â· + p n x n . For each 1 â‰¤ i â‰¤ n , estimate f ( x i ) using the Taylor expansion of f about the point y , applying the Lagrange Remainder Theorem from page 188.) 1...
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 '08
 PROTSAK
 Taylor Series, Continuous function, Taylor's theorem, Lagrange Remainder Theorem, D. Suppose limxâ†’a

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