# If #f(x)= (x^2-9)/(x+3)# is continuous at #x= -3#, then what is #f(-3)#?

Graphically: graph{(x^2-9)/(x+3) [-10, 10, -5, 5]}

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

f(-3) is equal to 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.

- What is the limit as x approaches infinity of #(ln (x))^(1/x)#?
- How do you find the limit of #sqrt(1/x+2)-sqrt(1/x)# as #x->0^+#?
- How do you evaluate the limit #coss# as s approaches #0#?
- What are the removable and non-removable discontinuities, if any, of #f(x)=(2x^2+4x-6) / (x-1)#?
- How do you find the limit #(x+x^(1/2)+x^(1/3))/(x^(2/3)+x^(1/4))# as #x->oo#?

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