# How do you prove that the limit of #(x^2 - 1) = 3# as x approaches -2 using the epsilon delta proof?

See below.

By signing up, you agree to our Terms of Service and Privacy Policy

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you find the limit of #sin^2x/x# as x approaches 0?
- What is the limit of #2x^2# as x goes to infinity?
- How do you prove the statement lim as x approaches 1 for #[ x + 1 ] / [ 2x + 1 ] = 2/3# using the epsilon and delta definition?
- How do you evaluate #lim_(x->0^(-)) e^x/(1+lnx)#?
- How do you find the limit of #(u^4-1)/(u^3+5u^2-6u)# as #u->1#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7