Calculus I – Lecture 7 Limit Laws and Algebraic Computation of Limits скачать в хорошем качестве

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