From the course: Complete Guide to Calculus Foundations for Data Science

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Calculate limits using the squeeze theorem

Calculate limits using the squeeze theorem

From the course: Complete Guide to Calculus Foundations for Data Science

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Calculate limits using the squeeze theorem

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- [Instructor] So far, you have learned about how to use a variety of techniques to calculate limits, such as using direct substitution, limit rules and factoring. What do you do though, if these methods don't work? This is when the Squeeze Theorem becomes useful. The Squeeze Theorem allows you to calculate the limit of a function by squeezing it between two other functions, hence the name, "Squeeze Theorem". The way it works is the two other functions have to have their limits equal to each other at the point being evaluated. This theorem is sometimes called the Sandwich Theorem, or Pinching Theorem. Let's look at a technical definition of this theorem. Let F of X, G of X, and H of X all be functions over an open interval between A and B. If F of X is less than or equal to G of X, which is less than or equal to H of X, and for A, less than or equal to C, less than or equal to B, such that the limit as X goes to C of F of X equals the limit as X goes to C of H of X, which equals the…

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