Need help proving something.
Show using the definition of a limit that lim (as x approaches c) of (x^3)=(c^3) for all c in R.
Thank you in anticipation.
If then,
For every
There is
such as,
if is in domain,
then,
.
The first inequality can be expressed as,
And,
Thus,
If you chose,
Thus,
Would make the inequality work can gaurentte the function is defined.
Now you do the second half if, .
There got to be a more simple way to do it. But that is the only one that I came up with.