Скачать или смотреть Calculus I – Lecture 7 Limit Laws and Algebraic Computation of Limits

In this lecture, we introduce the fundamental limit laws and apply them to compute limits algebraically.

Topics covered:

Sum, difference, product, and quotient rules

Root rule and its conditions

Limits of polynomials and rational functions

Evaluating limits by direct substitution

Nonzero over zero form

One-sided infinite limits

Graphical interpretation of vertical asymptotes

We also discuss how algebraic simplification helps in evaluating limits correctly.

Students are encouraged to write along and pause the video when needed.

Instructor: Prof. Shadi Shaqaqha
Department of Mathematics – Yarmouk University

شرح قوانين النهايات وتطبيقها حسابيًا مع دراسة الحالات الخاصة مثل nonzero/0 والنهايات الأحادية.

00:00 Limit Laws; Sum, Difference, and Constant Multiple Rules, Product and Quotient Rules, Root Rule (Even vs Odd Roots)
04:42 Limits of Powers and Polynomials
09:38 Rational Functions (Direct Substitution)
10:53 Piecewise Example with Cube Root
13:29 Nonzero over Zero Case
15:43 One-Sided Infinite Limits (Sign Analysis)
18:16 Graph Interpretation and Vertical Asymptote