For what values of x, if any, does #f(x) = 1/((5x+3)(x-6) # have vertical asymptotes?
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non-zero for these values then they are vertical asymptotes.
By signing up, you agree to our Terms of Service and Privacy Policy
The function f(x) = 1/((5x+3)(x-6)) has vertical asymptotes at x = -3/5 and x = 6.
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 # (sin^4 x)/(x^4)# as x approaches 0?
- For what values of x, if any, does #f(x) = cot((7pi)/12-x) # have vertical asymptotes?
- What is #lim_(xrarr0) ( 9/x-(9x)/(x^2+x))#?
- How do I determine #lim_(x->0.5^-)(2x-1)/|2x^3-x^2|#, if it exists?
- Evaluate the limit #lim_(x->0) (e^x+3x)^(1/x) #?

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