Limits (Calculus) – A Survivor’s Guide

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About Course

Ready to conquer the gatekeepers of Calculus? Limits define the behavior of functions, unlocking a world of understanding about change and motion. This interactive, problem-driven course empowers you to not just grasp limits but conquer them through targeted problem-solving strategies.

How will you benefit?

  • Develop a problem-solving toolkit: Tackle limits with confidence using proven methods like factorization, rationalization, and standard limits.
  • Explore diverse limit scenarios: Master algebraic limits at infinity, trigonometric, and inverse trigonometric limits, and even tackle those tricky exponential limits.
  • Uncover special cases: Demystify essential limits like L’Hôpital’s rule and understand their critical role in analysis.
  • Gain conceptual clarity: Move beyond rote memorization and build a true understanding of the underlying principles of limits.
  • Interactive learning experience: Solve problems, receive feedback, and connect with a vibrant community of learners.

Why take this course?

With a focus on practical problem-solving and engaging content, this course will not only equip you with the skills to conquer limits but also ignite your passion for the beauty and power of mathematics.

Enroll now and unlock the gate to the fascinating world of Calculus!

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What Will You Learn?

  • Method of Factorization: Break down complex functions and unveil hidden limits.
  • Rationalization Method: Tame troublesome functions by eliminating pesky square roots.
  • Evaluating Using Standard Limits: Leverage pre-calculated limits to quickly solve problems.
  • Algebraic Limits at Infinity: Explore functions at the edge of infinity and beyond.
  • Trigonometric Limits: Unravel the mysteries of sine, cosine, and their friends.
  • Inverse Trigonometric Limits: Conquer arctangent, arcsine, and their ilk.
  • Exponential Limits: Master the ever-growing world of exponential functions.
  • Special Limits: Uncover L'Hôpital's rule and other gems of limit theory.

Course Content

1. Evaluating Limits by the Method of Factorization

  • 1.1 Practice Exercise 1A
  • 1.2 Solutions to Practice Exercise 1A
    00:00

2. Evaluating Limits by the Method of Rationalization

3. Evaluating Using Standard Limits

4. Algebraic Limits at Infinity

5. Trigonometric Limits

6. Inverse Trigonometric Limits

7. Exponential Limits

8. Special Limits

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