Limits by direct substitution

Find limits of functions at specific points by directly plugging the point into the function.

Defined vs. undefined limits

Determine limits by direct substitution. Limits might be nonexistent.

Limits by factoring

Practice finding twosided limits by simplifying functions algebraically.

Limits using trig identities

Find limits of trigonometric functions by rewriting them using trigonometric identities.

Limits by rationalizing

Practice finding twosided limits using the method of rationalization.

Limits of piecewise functions

Find limits of piecewise functions at the edges of their intervals.

Removable discontinuities

Remove discontinuity points of piecewise functions by assigning appropriate values.

Unbounded limits: graphical

Identify unbounded limits of functions given their graphs.

Unbounded limits: algebraic

Analyze unbounded limits of functions given algebraically.

Derivative as slope of tangent line

Analyze derivatives of functions at specific points as the slope of the lines tangent to the functions' graphs at those points.

Limits at infinity of rational functions

Analyze what value a rational function approaches at infinity (if at all).

Derivative & the direction of a function

Identify intervals with positive and negative slope on graphs of functions.

Limits at infinity of rational functions: radicals

Find limits at infinity of rational functions with a radical expression in the numerator or denominator.

Limits at infinity of rational functions: trig

Find limits at infinity of rational functions that include sine or cosine expressions.

Secant lines

Find slopes of secant lines of given functions.

Visualizing derivatives

Given the graph of a function, find the graph of the derivative.

Secant lines (with simplification)

Find slopes of secant lines of given functions. In this exercise, you need to simplify the resulting expression.

Squeeze theorem

Squeeze theorem practice problems.

Derivative as a limit: numerical

Find derivatives of functions by considering them as the limits of secant line slopes or average rate of change.

Derivative as a limit: algebraic

Write derivatives of functions as limit expressions.
