# For what values of x, if any, does #f(x) = e^x/(e^x-e^(2x)) # have vertical asymptotes?

graph{(e^x)/(e^x-e^(2x)) [-14.24, 14.24, -7.12, 7.12]}

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

The function f(x) = e^x/(e^x-e^(2x)) has vertical asymptotes at x = 0 and x = -∞.

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 #[(x^2+x)^(1/2)-x]# as x approaches infinity?
- How do you find the limit of # (x-pi)/(sinx)# as x approaches pi?
- How do you determine the limit of #sinh(2x)/e^(3x)# as x approaches infinity?
- If #f(x)= (x^2-9)/(x+3)# is continuous at #x= -3#, then what is #f(-3)#?
- For what values of x, if any, does #f(x) = sec((-11pi)/6-7x) # have vertical asymptotes?

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