Analyzing functions for discontinuities: algebraic
Published in
1 min readJan 23, 2019
If the limits of both side of some point, are EQUAL, then it’s continuous at this point.
At a point a
, for f(x)
to be continuous at x=a
, we need lim(x→a)f(x) = f(a)
.
Example
Solve:
- Got the limit of left side is
-1/2
- Got the limit of right side is
-1/2
- They’re equal, so it’s continuous at this point.