# If limit of #f(x)=4# as #x->c#, what the limit of #3f(x)# as #x->c#?

# lim_(x rarr c) 3f(x) = 12 #

Using the limit property:

Then we have:

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

The limit of 3f(x) as x approaches c is 12.

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 prove that the limit of #(x^2 - 1) = 3# as x approaches -2 using the epsilon delta proof?
- For what values of x, if any, does #f(x) = 1/((x-6)(x^2-9)) # have vertical asymptotes?
- How do you find #lim (10x^2+x+2)/(x^3-4x^2-1)# as #x->oo#?
- How do you evaluate #e^(3ln(x))# as x approaches infinity?
- How do you determine the limit of #4/(x-5)^2# as x approaches 5?

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