Wksht 2: Limit of Piecewise functions
Exercise
What is this question asking?
A piece-wise function is made up of several sub-functions, where each sub-function corresponds to a piece of the domain. In this example, everywhere where , . However, where , .
To find the limit at approaches 4, we don't need to focus on the value of , but instead the values of the function near 4.
So let's focus only on the part of the function around . This means that we will deal only with .
From the graph below, what -value is nearing as nears 4?
We can see from the graph above that as nears 4, nears 10.
Solution: Therefore,
Good Resources
Symbolab.com is like wolframalpha, but free. Don't use it unless you're stuck so you don't become dependent on it!
Desmos.com: graphing calculator
Betterexplained.com
Mathinsight.org
