Learning Objective 1.1C

Learning Objective 1.1C Students will be able to determine limits of functions.

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Strictly speaking, we've merely estimated the limits we've evaluated thus far. If we want to make our answers official, we'll have to use limit theorems and algebraic rules. Sometimes we'll need to use some tricks, such as algebraic manipulation, trig identities, the squeeze theorem, and L'Hopital's Rule.

But first we'll need to learn how to simplify limits involving 0 and infinity, so we can make sense of our answers.

EK 1.1CP Shows you how to simplify answers from limits that involve 0 and ∞.

EK 1.1C1 Shows you some simple rules to make your answers more official.

EK 1.1C2 Shows you a variety of ways to transform an indeterminate limit into one that can be solved

EK 1.1C3 Shows you L'Hôpital's Rule, a fantastic way to solve certain indeterminate limits.

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Essential Knowledge 1.1CP Students will know how to interpret answers to limits which involve 0 and ∞. They will be able to declare them as 1) a number, 2) ∞ or -∞, or 3) indeterminate.

Essential Knowledge 1.1C1 Students will know that limits of sums, differences, products, quotients, and composite functions can be found using the basic theorems of limits and algebraic rules

Essential Knowledge 1.1C2 Students will know that the limit of a function may be found by using algebraic manipulation, alternate forms of trigonometric functions, or the squeeze theorem

Essential Knowledge 1.1C3 Students will know that limits of the indeterminate forms and may be evaluated using L'Hôpital's Rule