Limits with trigonometric functions
Evaluating Limits of Trigonometric Functions
When working with limits of trigonometric functions it might be helpful to:
1. Remember that all previous algebraic “rules for limits” are still valid
2. Try to “plug in” the “target value” – watch for undefined terms and “[pic]”.
3. Write all functions in terms of sin[pic] or cos[pic].
4. Algebraically manipulate the function to look for a “replacement function”.
5. Work towards the 2 “special limits”
[pic] and [pic]
Examples:
1. [pic] 2. [pic]
3. [pic] 4. [pic]
5. [pic] 6. [pic]
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Math 111
Connolly
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