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Unformatted text preview: . g'(xo). 611 = g'(Xo)6X + ,6X = (g'(xo) + CI)~X, where c, -+ 0 as 6X-+ O. Similarly, 6y = f'(Llo)6U + 2 6U = (j'(uo) + E:)?U, where C2-+ 0 as 6u-+ O. Notice also that ~U __ 0 as _'.x-O. Combii1ir:g ,he equations for 611 and ~y gives so Since c, and c2 go to zero as ~x goes to zero, three of the four t:?rms on the rifh[ vanish in the limit, ]eaving . 6y I ' ' ( ' I .. , hm -= (LlO)g xo) = (5(x(,)). g (xc). ~x-O 6X...
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- Fall '08