# How do you find the limit of #(t^2+t-2)/(t^2-1)# as #t->-1#?

After factorizing the fraction's terms, we will simplify:

The limit will then become apparent to us:

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

Undefined.

Then

From the right:

Then:

Proceeding left and right will bring you closer and closer.

So:

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

To find the limit of (t^2+t-2)/(t^2-1) as t approaches -1, we can substitute -1 into the expression and simplify.

Substituting -1 into the expression, we get (-1^2+(-1)-2)/((-1)^2-1).

Simplifying further, we have (1-1-2)/(1-1), which becomes -2/0.

Since division by zero is undefined, the limit does not exist.

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.

- What is the horizontal asymptote of an exponential function?
- How do you find the limit of #[ln(6x+10)-ln(7+3x)]# as x approaches infinity?
- How do you find the limit #lim (root4(x+1)-root4x)x^(3/4)# as #x->oo#?
- What is the limit of #lnx# as x approaches #0#?
- Given #(sin^2(x^2))/(x^4)# how do you find the limit as x approaches 0?

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