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x->0
ln(1+x) = x -(1/2)x^2 +o(x^2)
ln(1+x) -(ax+bx^2) = (1-a)x + ( -1/2 -b) x^2 +o(x^2)
lim(x->0 ) [ln(1+x) -(ax+bx^2) ]/x^2 =2
lim(x->0 ) [(1-a)x + ( -1/2 -b) x^2 ]/x^2 =2
=>
1-a=0 and -1/2 -b =2
a=1 and b= -5/2
(a,b)= (1, -5/2)
ln(1+x) = x -(1/2)x^2 +o(x^2)
ln(1+x) -(ax+bx^2) = (1-a)x + ( -1/2 -b) x^2 +o(x^2)
lim(x->0 ) [ln(1+x) -(ax+bx^2) ]/x^2 =2
lim(x->0 ) [(1-a)x + ( -1/2 -b) x^2 ]/x^2 =2
=>
1-a=0 and -1/2 -b =2
a=1 and b= -5/2
(a,b)= (1, -5/2)
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