Lesson 7 – Limit formulas for functions

Lesson 7 – Limit formulas for functions

Wróć do: Limits Course
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In this lesson I show how to transform various limits so that they match the most common formulas with sines, logarithms, etc.

You’ll learn many simple tips for steering a limit toward the right function-limit formula.

This lesson lasts 47 minutes and I walk through 19 different step-by-step examples.

Table of Contents:

  • limit formulas for functions [01:17]
  • limits using formulas with sin x, tan x, arcsin x, arctan x – 6 examples [05:39]
  • limits using formulas with exponential and logarithmic functions – 4 examples [15:12]
  • limits with sin x and transformations – 2 examples [20:10]
  • limit using the cosine-difference formula – example [22:57]
  • formula for the limit with cosine [26:31]
  • limits with more difficult transformations – example 1 [28:25]
  • limits with more difficult transformations – example 2 [31:25]
  • limits with more difficult transformations – example 3 [35:10]
  • limits with more difficult transformations – example 4 [38:00]
  • limits with more difficult transformations – example 5 [40:50]
  • limits with more difficult transformations – example 6 [42:58]

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Formulas needed for the Lesson

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Download formulasDownload trigonometric tables (PDF)


Homework

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Articles and blog posts related to this Lesson

Wróć do: Limits Course