Find limits, including left- and right-hand limits, on a function given graphically.
?
?
This lesson is aligned to the Learning Objectives and Essential Knowledge described in the College Board's AP Calculus AB and AP Calculus BC Course and Exam Description:
LO1.1A(b): EK1.1A1, EK1.1A2, EK1.1A3
LO1.1B: EK1.1B1
LO1.2A: EK1.2A1
?
Below is a linear piecewise function.
If you travel along the graph from point $$A$$ to point $$B$$, what $${{y-}}$$value do you get closer to as you get closer to $${{x=7}}$$?
If you travel along the graph from point $$C$$ to point $$B$$, what $${{y-}}$$value do you get closer to as you get closer to $${{x=7}}$$?
Find the following limits:
$${\lim_{x\rightarrow4^+}f(x)=}$$
$${\lim_{x\rightarrow4^-}f(x)=}$$
$${\lim_{x\rightarrow4}f(x)=}$$
?
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
?
Based on the graph below, which of the following is falase? Circle ALL that apply. Then, change the false statements into true statements.
A. $${\lim_{x\rightarrow 1^+}h(x)\neq \lim_{x\rightarrow 1^-}h(x)}$$
B. $${\lim_{x\rightarrow 1}h(x)\space \mathrm{exists}}$$
C. $${\lim_{x\rightarrow 1^-}h(x)\neq h(1)}$$
D. $${\lim_{x\rightarrow 1^+}h(x)\neq h(1)}$$