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Maths 100-50

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F(a + h) = f(a) + hf0(a) +
h2
2!
f00(a) + ::: +
hk
k!
f(k)(a) + Rk+1
where Rk+1 =
hk+1
(k + 1)!
f(k+1)(a + ’h) ; 0 < ’ < 1.
OR
f(x) = f(x0) + (x € x0)f0(x0) +
(x € x0)2
2!
f00(x0) + ::: +
(x € x0)k
k!
f(k)(x0) + Rk+1
where Rk+1 =
(x € x0)k+1
(k + 1)!
f(k+1)(x0 + (x € x0)’); 0 < ’ < 1

Posted on Mar 27, 2008

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