47. f(x)= {x^3 if x cant equal 1
0 if x =1
find lim x->1^- f(x) and lim x->1^+ f(x)
Does lim x->1^ f(x) exist? If so, what is it? If not, why not?
Have you made any attempt at this at all? It's pretty close to trivial!
What do you mean by "lim x->1^ f(x)"? Just the limit itself? You don't need the "^" in that case.Does lim x->1^ f(x) exist? If so, what is it? If not, why not?
you should have learned that "$\displaystyle \lim_{x\to a} f(x)$ exist if and only if both $\displaystyle \lim_{x\to a^-} f(x)$ and $\displaystyle \lim_{x\to a^+} f(x)$ exist and are the same".
I have some video tutorials on limits on my youtube channel. the first video is at: https://www.youtube.com/watch?v=Xw8lWFI7viY. hope that helps.