# Is the statement "if the limit of f(x) as x approaches c is 0, then there must exist a number k such that f(k)<0.001" a true or false statement?

It is true.

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

False.

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 of #(4x − sin4x)/(4x − tan4x)# as x approaches 0?
- I get a solution of #y=3# but how to solve for this limit?? #lim(x->-4)(3x+12)/(x+4)#
- How do you evaluate the limit #lim((x-3)^2-9)/(2x)dx# as #x->0#?
- How do you find the horizontal asymptote of the graph of #y=6x^2# ?
- Given #x^2 + 2# how do you find the limit as x approaches 3?

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