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Solving 1^Infinity

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question 1 of 3

Which of the following rules or theorems do you need to apply to help you find a limit that goes to 1 to the infinity power?

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1. In order to use L'Hopital's Rule, which of the following indeterminate forms do you need to have?

2. If you get a limit to infinity problem where you first get the indeterminate form 1 to infinity, how do you need to rewrite your function f(x)?

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About This Quiz & Worksheet

With this quiz/worksheet you can determine how much you comprehend about solving 1 to the infinity power. Specific quiz topics include a rule that applies to find a limit of 1 to infinity and the use of an indeterminate form.

Quiz & Worksheet Goals

Answer questions on these topics for the quiz:

  • Rewriting functions
  • Solving for the limit to infinity for a given function
  • Differentiating a natural log function
  • Using L'Hopital's Rule
  • Theorems/rules that apply to limits for 1 to infinity

Skills Practiced

  • Problem solving - use acquired knowledge to solve 1 to infinity practice problems
  • Information recall - access the knowledge you've gained regarding the differentiation of a natural log function
  • Critical thinking - apply relevant concepts to examine information about functions in a different light

Additional Learning

For further study of the subject, consider the accompanying lesson called Solving ^infinity. These topics will be covered:

  • Definition of indeterminate
  • Rewriting a problem as e to the natural log of a function and taking the limit of the exponents of the e function
  • Analysis of finding the limit for the next step and then getting your answer
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