Continuity and the IVT
1.3Continuity of piece-wise functions
Here we use limits to ensure piecewise functions are continuous.
1.5Continuity exercises
Here is an opportunity for you to practice using the definition of continuity.
Extrema and the EVT
2.1Maximums and minimums
On this card, we investigate what is meant by the maxima and minima of a
function.
2.2The Extreme Value Theorem
On this card, we will determine the conditions that guarantee a continuous function
has an absolute maximum and minimum.
Limits with Infinity
3.2Limits of the form nonzero over zero
We want to solve limits that have the form nonzero over zero.
3.3Vertical asymptotes
We explore functions that ‘‘shoot to infinity’’ at certain points in their domain.
3.4Horizontal asymptotes
We explore functions that behave like horizontal lines as the input grows without
bound.
3.5Limits with infinity exercises
Here is an opportunity for you to practice evaluating limits that involve
infinity.
Mixed Limit Exercises
3.6Mixed limit exercises 1
Here is an opportunity for you to practice evaluating many different types of
limits.
3.7Mixed limit exercises 2
Here is an opportunity for you to practice evaluating many different types of
limits.