How do you solve #lim _ { x \rightarrow - 1} \frac { 2x ^ { 3} + 5x ^ { 2} + 4x + 1} { 3x ^ { 3} + 5x ^ { 2} + x - 1}#?
Scarlett AllisonSee below.
The numerator and denominator are both polynomials.
Factor by trial and error or by polynomial division, reduce the fraction, and try again to find the limit.
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.
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 evaluate the limit #x/(x+3)# as x approaches #-3#?
- How do you determine the limit of #sqrt( x^2 + x) / (-2x)# as n approaches #-oo#?
- How do you find the limit of #(4x-5x^2)/(x-1)# as #x->0#?
- Find all values of #x# where the following function is discontinuous? #f(x) = {(1-x, "if " x<1), (2, "if " 1 <= x <= 2), (4-x, "if " x>2):}#
- How do you find the limit of #R(x) = (x - 1)/(x² - 1)# as x approaches #1#?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7