Ok this is the problem:
Find the limit as x approaches zero
0^3 +x/x
Ok.. so I know it's zero over zero so it's undefined but how can I further
distribute the problem ? I remember my professor saying that we could take a step further but I don't know how to do it in this case.
Hopefully this is enough information to get MUCH needed help
it's #2 on your reply. And once I plugged the zero into the equation I got 0/0. In a similar problem done in class our professor further simplfied the answer by distributing the orignal function then cancelling out the like terms from the denominator. But I am somewhat fuzzy on the rest and don't know how to further simplify the answer.
L'Hopital's rule requires you to know derivatives, which you may have not learned yet.
Take a numerical approach to a limit when you are lost...
It is obviously going to one.
Now, think about it intuitively. What is happening? Very small values that are cubed are comparable to zero. What is left? Just which simplifies to one.
Also, note that you can just simplify the function...
for
Limits do not take the value of a function at the limiting value, but merely the value an infinitesimally small distance away from the limiting value, so doing this primitive simplification is allowable since the limit never looks at which so happens to be undefined.