limits of a function?

Question

determine whether f(x) = x+2 / (x^3)+1 is continuous at x = -1

Answer 1

It's not continuous, sub in -1 for x, but you only really have to worry about the denominator. When you sub in -1 for x in the denominator you get -1 + 1, which is zero. A point where you have by zero is a discontinuity.

Answer 2

If your function is x + 2/(x^3) + 1 as you have typed it (a 3 termed expression where the middle term has a denominator different from the other 2 terms)

and NOT x + 2/[(x^3) + 1]

then your function is continuous @ x = -1

Answer 3

Use substitution.
f(-1) = [-1+2]/[(-1^3)+1] ...........substitute x with -1

so, f(x) is undefined as the result os 1/0
which also means it is discontinuoun at x=-1.

Answer 4

Undefined or "null". Not continuous.