# How do you determine the limit of #1/(x²+5x-6)# as x approaches -6?

DNE-does not exist

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

The limit does not exist. Look at the signs of the factors.

From the left

From the right

Two sided

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

To determine the limit of 1/(x²+5x-6) as x approaches -6, we can substitute -6 into the expression and simplify. By substituting -6 for x, we get 1/((-6)²+5(-6)-6). Simplifying further, we have 1/(36-30-6), which becomes 1/(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.

- How do you prove that the function f(x) = | x | is continuous at x=0, but not differentiable at x=0?
- How do you evaluate #(x−4 )/ (x^2+6x−40)# as x approaches 4?
- How do you use a graphing calculator to find the limit of #(12(sqrtx-3))/(x-9)# as x approaches 0?
- How do you know a limit does not exist?
- What is the limit of #(4x)/(x-6)+(5x)/(x+6)# as x approaches infinity?

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