NOTES 1.2 Properties of Limits.pdf - Notes 1.2 Properties of Limits §1.2—Properties of Limits When working with limits you should become adroit and

# NOTES 1.2 Properties of Limits.pdf - Notes 1.2 Properties...

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Notes 1.2: Properties of Limits Page 1 of 3 §1.2—Properties of Limits When working with limits, you should become adroit and adept at using limits of generic functions to find new limits of new functions created from combinations and modifications to those generic functions. I’ll show you what I mean, but first, some important properties of limits that make it all work. Properties of Limits 1. (addition/subtraction) ( ( ( ( lim lim lim x c x c x c f x g x f x g x ± = ± 2. (constant multiple) ( ( lim lim x c x c k f x k f x = 3. (multiplication) ( ( ( ( lim lim lim x c x c x c f x g x f x g x = 4. (division) ( 29 ( 29 ( ( 29 lim lim lim x c x c x c f x f x g x g x = , ( lim 0 x c g x 5. (exponentiation) ( 29 ( 29 lim lim n n x c x c f x f x = 6. (composition) If ( lim x c g x L = , then lim ( ( )) lim ( ) x c x L f g x f x =

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