f(x) = 1/(x^3-1) 1) lim x--> 1^- f(x) = 2) lim x--> 1^+ f(x) =

Question

f(x) = 1/((x³-1)

1) lim x--> 1^- f(x) =

2) lim x--> 1⁺ f(x) =

I would like to understand the steps on how to answer these questions.

Answer 1

Now the notation makes sense.

You are asking about right and left sided limits.

Graph f(x).

You will see that there is no limit from either direction, but for x<1 the graph goes to - infinity and for x >1 the graph goes to + infinity.