For what values of x, if any, does #f(x) = 1/((x-5)sin(pi+1/x) # have vertical asymptotes?
graph{1/((x-5)sin(pi+1/x)) [-0.996, 0.996, -0.498, 0.498]}
graph{1/((x-5)sin(pi+1/x)) [-14.41, 17.46, -8.86, 7.08]}
By signing up, you agree to our Terms of Service and Privacy Policy
The function f(x) has vertical asymptotes at x = 5 and x = 0.
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 find the limit of #| x - 5 |# as x approaches #5#?
- How do you prove that the limit of #((x^2+x-6)/(x-2))=5# as x approaches 2 using the epsilon delta proof?
- What is the limit of #Tan(x)# as x approaches infinity?
- What is #lim_(x->oo) x - sqrt(x^2 + 4x + 3)#?
- How do you evaluate the limit #((3+h)^3-27)/h# as h approaches #0#?

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