Question

Lim x>-1 x^2-x-2/x+1

Answer 1

Answer:

-3

Step-by-step explanation:

If we directly evaluate the function at -1, we get 0/0, meaning we may still have a limit to find.

In this case, factoring the polynomial at the top would be helpful.

The polynomial can be factored to (x+1)(x-2), so the function would now turn out to be (x+1)(x-2)/(x+1)

The (x+1) cancel out, leaving you with (x-2), which you can directly evaluate by plugging in x as -1:

-1-2 = -3

Quick disclaimer: the function is still undefined at -1; it's just that the function gets closer and closer to -3 as you approach -1.

I hope this helped you.