f(x) = x^3 +3 x< -1
x^2 +x +1 -1<x<1
x^4 +2 x> 1
1) for the function whose graph is given above, the limit f(x) as x approaches -1+ is:
x^2+x+1 touch -1 from right side first so I plug in -1 and get 1
2) The limit f(x) as x approaches -1 is
since only x^3+3 and x^2+x+1 touches -1, I plugin -1 in both equation.
x^3+3 = 2
x^2+x+1 = 1
the limit does not exists.
can this method be applied to all problems similar to this one?
this is all assuming I don't have a graphic utility, don't know how to graph by hand, don't know of polynomial are contentious