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1.6. Techniques for Computing Limits: The Limit Laws. Computing Limits. Basic Limits : For real numbers b and c, and positive integers n:. Properties of Limits. Properties of Limits (continued). Methods for Computing Limits. A. “Plug-Ins” (Direct substitution)
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1.6 Techniques for Computing Limits: The Limit Laws
Computing Limits Basic Limits: For real numbers b and c, and positive integers n:
Methods for Computing Limits • A. “Plug-Ins” (Direct substitution) • Using these basic limits and properties of limits, we can prove that the limit at c of the following kinds of functions can be evaluated by direct substitution of c for x. • Direct substitution will work for: • Polynomial Functions • Rational Functions with c in domain • Radical Functions with c in domain • Trigonometric Functions with c in its domain
Methods for Computing Limits B. Rational Functions with c not in domain(“Single Holes”)
D. Special Trigonometric Limits Theorems: