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Unit 1 (Intro to Calculus)

# Unit 1 (Intro to Calculus) - U nit 1 I n t roduction to...

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Unit 1: Introduction to Calculus = limx afx L X is a very-very close to but not equal to ‘a’ o Must be a number on each side of a The limit of the function only exist if the limit from the left is equal to the limit from the right → - = → + ( ) limx a fx limx a f x One sided limits The limit of f(x) as x approaches to infinity is 0 Properties: 1. = limx ak k 2. = limx ax a 3. Limit of a sum or Difference limx afx ± = gx limx afx ± ( ) limx ag x 4. Limit of a Constant ( )= ( ) limx acf x c limx af x 5. Limit of a product ( )= × ( ) limx afxg x limx afx limx ag x 6. Limit of a quotient ( ) ( )= ( ) ( ) limx af x g x limx af x limx ag x Note: ( )≠ limx ag x 0 7. Limit of a power → [ ] =[ ( )] limx a fx n limx af x n Ex) + - = + - limx 3x2 2x 6 limx 3x2 limx 32x limx 36 [ ] + - limx 3x 2 2limx 3x limx 36 [3] 2 + 2[3]-6 9

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When x 0 divide top & bottom (every term) by highest term Ex) ( )= - > f x x2 if x 14 1 if x 1 (i).
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Unit 1 (Intro to Calculus) - U nit 1 I n t roduction to...

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