Limits by direct substitution
- Description
- Find limits of functions at specific points by directly plugging the point into the function.
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Find limits of functions at specific points by directly plugging the point into the function. |
Timed Test
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Defined vs. undefined limits
- Description
- Determine limits by direct substitution. Limits might be nonexistent.
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Determine limits by direct substitution. Limits might be nonexistent. |
Timed Test
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Limits by factoring
- Description
- Practice finding two-sided limits by simplifying functions algebraically.
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Practice finding two-sided limits by simplifying functions algebraically. |
Timed Test
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Limits using trig identities
- Description
- Find limits of trigonometric functions by rewriting them using trigonometric identities.
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Find limits of trigonometric functions by rewriting them using trigonometric identities. |
Timed Test
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Limits by rationalizing
- Description
- Practice finding two-sided limits using the method of rationalization.
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Practice finding two-sided limits using the method of rationalization. |
Timed Test
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Limits of piecewise functions
- Description
- Find limits of piecewise functions at the edges of their intervals.
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Find limits of piecewise functions at the edges of their intervals. |
Timed Test
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Removable discontinuities
- Description
- Remove discontinuity points of piecewise functions by assigning appropriate values.
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Remove discontinuity points of piecewise functions by assigning appropriate values. |
Timed Test
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Unbounded limits: graphical
- Description
- Identify unbounded limits of functions given their graphs.
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Identify unbounded limits of functions given their graphs. |
Timed Test
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Unbounded limits: algebraic
- Description
- Analyze unbounded limits of functions given algebraically.
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Analyze unbounded limits of functions given algebraically. |
Timed Test
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Derivative as slope of tangent line
- Description
- Analyze derivatives of functions at specific points as the slope of the lines tangent to the functions' graphs at those points.
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Analyze derivatives of functions at specific points as the slope of the lines tangent to the functions' graphs at those points. |
Timed Test
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Limits at infinity of rational functions
- Description
- Analyze what value a rational function approaches at infinity (if at all).
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Analyze what value a rational function approaches at infinity (if at all). |
Timed Test
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Derivative & the direction of a function
- Description
- Identify intervals with positive and negative slope on graphs of functions.
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Identify intervals with positive and negative slope on graphs of functions. |
Timed Test
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Limits at infinity of rational functions: radicals
- Description
- Find limits at infinity of rational functions with a radical expression in the numerator or denominator.
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Find limits at infinity of rational functions with a radical expression in the numerator or denominator. |
Timed Test
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Limits at infinity of rational functions: trig
- Description
- Find limits at infinity of rational functions that include sine or cosine expressions.
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Find limits at infinity of rational functions that include sine or cosine expressions. |
Timed Test
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Secant lines
- Description
- Find slopes of secant lines of given functions.
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Find slopes of secant lines of given functions. |
Timed Test
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Visualizing derivatives
- Description
- Given the graph of a function, find the graph of the derivative.
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Given the graph of a function, find the graph of the derivative. |
Timed Test
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Secant lines (with simplification)
- Description
- Find slopes of secant lines of given functions. In this exercise, you need to simplify the resulting expression.
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Find slopes of secant lines of given functions. In this exercise, you need to simplify the resulting expression. |
Timed Test
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Squeeze theorem
- Description
- Squeeze theorem practice problems.
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Squeeze theorem practice problems. |
Timed Test
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Derivative as a limit: numerical
- Description
- Find derivatives of functions by considering them as the limits of secant line slopes or average rate of change.
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Find derivatives of functions by considering them as the limits of secant line slopes or average rate of change. |
Timed Test
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Derivative as a limit: algebraic
- Description
- Write derivatives of functions as limit expressions.
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Write derivatives of functions as limit expressions. |
Timed Test
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