Please help me! I need help in the following exercises..
1)f(x)=x^2+ax+b+root(4-x^2)
a)find the domain of f.
b)if f pass through A(-2,-2) and B(2,2)
I)find a,b
ii)if a=1 and b=-4 find the point that f intersects y'y.
2)g(x)=x^2+ax+b/x-1
if g intersects the y'y at the point A(0,3) and pass through from the point B(-1,2)
find:
a)the domain of g
b)a,b
3)find the limit:
a) lim e^3x-e^2x+e^x-1/e^x-1
x->0
b)lim root(lnx) - 1/lnx^2-1
x->e
c)lim x^2 - 4/ ^3root x - ^3 root 8
x->2
d)lim root(x+3) - root(3+x^2) / x^2+x
x->0
e)lim root (x) - 2/x^2-5x+4
x->4
