# How do you find the limit of #(x^2-3x+2)/(x^3-4x)# as x approaches 2 from the right, as x approaches -2 from the right, as x approaches 0 from the left, and as x approaches 1 from the right?

To begin, factor the expression.

Start taking the necessary limits now.

Regarding the following boundary,

Regarding the following boundary,

Regarding the final limit,

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

To find the limit of (x^2-3x+2)/(x^3-4x) as x approaches 2 from the right, we substitute 2 into the expression and simplify. The limit is 1/4.

To find the limit as x approaches -2 from the right, we substitute -2 into the expression and simplify. The limit is -1/6.

To find the limit as x approaches 0 from the left, we substitute 0 into the expression and simplify. The limit is -1/0, which is undefined.

To find the limit as x approaches 1 from the right, we substitute 1 into the expression and simplify. The limit is 0.

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

As x approaches 2 from the right, the limit of the function is 2/4 = 1/2.

As x approaches -2 from the right, the limit of the function is 6/0, which is undefined.

As x approaches 0 from the left, the limit of the function is 2/0, which is undefined.

As x approaches 1 from the right, the limit of the function is 0/3 = 0.

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

- How do you find the limit #x^2/sqrt(2x+1)-1# as #x->0#?
- How do you find the limit of #cos(1/x)# as x approaches #oo#?
- How do you use the epsilon delta definition to prove that the limit of #x^2-7x+3=-7# as #x->2#?
- How do you find the limit #lim_(x->4)(x^3-64)/(x^2-8x+16)# ?
- How do you find the limit of #(e^x+x)^(1/x)# as x approaches 0 using l'hospital's rule?

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