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Indeterminate Forms and L’Hospital’s Rule Pre-reading Exercise Based on:: Stewert, J. (2008). Calculus: Early Transcendentals (6th ed.), pp. 298-299, 307. Belmont, CA: Thomson

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1. What do you know about limits in mathematics? Before reading this text, you need to understand the concept of a limit.

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2. What happens to the value of 1/x when x gets very near zero?

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3. What is the meaning of f(x)?

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4. Open the reading passage and look through it quickly to find the part that introduces L’Hospital’s Rule. Who discovered the rule?

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Before beginning to read, study the questions on the next slide. As you read, look for the answers to these questions.

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What is an indeterminate form? What are the two types of indeterminate form? Express in words the general case of a limit that results in an indeterminate form of type 0/0. Can some limits of this kind be solved without using L’Hospital’s Rule? What conditions must apply in order for L’Hospital’s Rule to be used?

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Now read the text through to the end.

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