# For what values of x, if any, does #f(x) = 1/((5x+8)(x+4) # have vertical asymptotes?

So, a vertical asymptote is a line that extends vertically to infinity. If we notice, it implies that the y co-ordinate of the curve much reach Infinity.

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

The function f(x) = 1/((5x+8)(x+4) has vertical asymptotes at x = -8/5 and x = -4.

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 #(ln x)^2 / x # as x approaches infinity?
- What is the limit of # tan(1/x)# as x approaches infinity?
- How do you find the limit of #(3 x^4 + 4) / ((x^2 - 7)(4 x^2 - 1)) # as x approaches #oo#?
- How do you evaluate the limit #lim(x^2+2x)/(x^2-3x-10)dx# as #x->4#?
- What is the limit of #f(x)# 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