# Limits and Direct Substitution

1. Jun 27, 2011

### Qube

Why wouldn't answer choice "C" be true as well?

[PLAIN]http://i.min.us/idPNiK.png [Broken]

2. Relevant equations

I thought that you could use direct substitution on this limit.

3. The attempt at a solution

I did get answer choices A and B. For the limit to exist, both the left and right hand limits have to match up.

Last edited by a moderator: May 5, 2017
2. Jun 27, 2011

### SammyS

Staff Emeritus
f(0) might not be defined or it may be that f(0)≠2. In other words, f(x) might have a removable discontinuity at x=2.