Limits: Evaluation Techniques

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Presentation transcript:

Limits: Evaluation Techniques 2.3

Find the Limit -1 Multiply by LCD Cancel (4) Substitute and Solve

Example -1 Multiply by LCD Cancel (2) Substitute and Solve

Use piecewise definition for absolute value functions Limit DNE!

Use piecewise definition for absolute value functions Limit DNE!

Examples Cancel Substitute and Solve 64 16

Rewrite as a single fraction using LCD D.S -> 0/0 Rationalize Numerator -1 Simplify Cancel Substitute and solve

TRIG LIMITS

=1 Must match exactly!

=0 Must match exactly

EXAMPLES

Since they match…let’s use our theorem Multiply numerator and denominator by 3 Since they match…let’s use our theorem Property of Limits

Trapped between: This makes a limit sandwich! By Squeeze Theorem