x ?? 0. Justifier. x2 << x, x2 << x3, sinx << x, ln(|x|) <<. 1 x. , sin2( x. 2. ) = O(x2),
ex?1 = O(x) .... la fonction fn+1(x) = ex ? (1 + x. 1. + x2. 2. + x3. 3! + ... + xn?1. (n ?
1)!. + xn n! ) .... allons faire pour P(x)=3x2 ? 2x3 + x4 et Q(x)=1 ? 2x + x3. 3x2. ?
2x3 .... (ex?1)(x?sin x)=(x+ x2. 2. + x3. 6. +...+ xk k! +xk?1(x))( x3. 6 ? x5. 120. +...
+(?1). 
