Determining One Sided Limits
Key Questions

This is when you attempt to evaluate the limit of a function from either the left side or the right side.

A one sided limit does not exist when:
1.
#""# there is a vertical asymptote.ex.)
#lim_{x to 0^+} 1/x =1/{0^+}=+infty# So, the limit does not exist.
2.
#""# there are violent oscillations.ex.)
#lim_{x to 0^}sin(1/x)# does not existdue to violent oscillations, which looks like:
I hope that this was helpful.
Questions
Limits

Introduction to Limits

Determining One Sided Limits

Determining When a Limit does not Exist

Determining Limits Algebraically

Infinite Limits and Vertical Asymptotes

Limits at Infinity and Horizontal Asymptotes

Definition of Continuity at a Point

Classifying Topics of Discontinuity (removable vs. nonremovable)

Determining Limits Graphically

Formal Definition of a Limit at a Point

Continuous Functions

Intemediate Value Theorem

Limits for The Squeeze Theorem