Answer :

LammettHash

As x approaches -1 from the left, the graph of f(x) leads you to the point (-1, 3), so the limit from the left is 3.

As x approaches -1 from the right, the graph leads to the point (-1, -3), so the limit from the right is -3.

The one-sided limits do not match, so the two-sided limit does not exist.

But f(x) is still defined at x = -1; this is indicated by the point (-1, -1). So f (-1) = -1.

We have found all the given limits for all the function.

What is limit of a function?

The limit of a function is a key notion in calculus and analysis that describes how the function behaves near a certain input.

How can we find limits for function?

  • As x approaches -1 from the left, the graph of f(x) leads you to the point (-1, 3), so the limit from the left is 3.
  • As x approaches -1 from the right, the graph leads to the point (-1, -3), so the limit from the right is -3.
  • The one-sided limits do not match, so the two-sided limit does not exist.
  • But f(x) is still defined at x = -1; this is indicated by the point (-1, -1). So f (-1) = -1

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