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Quantum Engineering Year 0: Mathematical Foundations Month 1Day 3

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Year 0·Month 1·Week 1

Day 3: Limit Laws and Evaluation Techniques

Day 3 of 2,016~8 min read

Learning Objectives

•State and apply all fundamental limit laws
•Evaluate limits of polynomials and rational functions
•Apply the Squeeze Theorem to find limits
•Handle indeterminate forms (0/0, ∞/∞)
•Evaluate one-sided limits systematically

Today's Schedule (7 hours)

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On this page

1 Fundamental Limit Laws Law 1 Constant Law Law 2 Identity Law Law 3 SumDifference Law Law 4 Constant Multiple Law Law 5 Product Law Law 6 Quotient Law Law 7 Power Law Law 8 Root Law 2 Direct Substitution Property 3 Indeterminate Forms and Algebraic Techniques Technique 1 Factoring Technique 2 Rationalizing Technique 3 Common Denominators 4 The Squeeze Theorem Sandwich Theorem Classic Application 5 Special Limits to Memorize The Fundamental Trigonometric Limit Related Limit Exponential Limit Logarithmic Limit 6 Limits at Infinity Key Results

Day 2Day 3 of 2,016Day 4