One-Sided Limits
One-sided limits play a crucial role in understanding the behavior of a function as it approaches a specific point. In calculus, the concept of limits is fundamental, and one-sided limits provide a nuanced perspective. When assessing a function's behavior from either the left or the right of a given point, one-sided limits offer insights into continuity, discontinuity, and the existence of limits. This mathematical concept serves as a foundational element in calculus, enabling a precise analysis of functions and their tendencies as they approach distinct values.
Questions
- What is a one-sided limit?
- How do I find one-sided limits graphically?
- What is a left-hand limit?
- What is a right-hand limit?
- How do I find one-sided limits of piecewise functions?
- How do I find one-sided limits of trig functions?
- How do I find the point(s) at which a given piecewise function is discontinuous?
- How do I find the point(s) at which a given rational function is discontinuous?
- How do you find the limit of # (1)/(x-2)# as x approaches 2+?