Math 11 Midterm 1 Review Sheet

# Math 11 Midterm 1 Review Sheet - Math 11 Midterm 1 Review...

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Math 11 Midterm 1 Review Sheet - Domain o The set of all possible inputs ( x ) - Range o The set of all possible outputs ( y ) - > = bigger, < = smaller - When would a limit not exist? o → - ( ) ≠ + ( ) limx a f x limx a f x then the limit does not exist Right and left-hand limits o The = limx afx L if and only if + = limx a fx L and → - ( )= limx a f x L o Cannot ignore absolute values x is + or – Look at one-side limits (right and left) - Vertical Asymptotes o Non-zero/zero In this case, if the limit exists then it will either be or - - Limits at Infinity o ∞∞ is an indeterminate form o Technique for limits at infinity (ONLY) → ±∞ limx PQ , where P and Q are polynomials, divide the numerator and denominator by the highest power of x in the denominator Unique cases Case 1 o If the highest power of x is in the denominator then, → ±∞ = limx PQ 0 Case 2 o If the highest power of x is in both the numerator and denominator, then the → ±∞ limx PQ is the fraction formed by the coefficients in front of that common power of x Case 3 o If the highest power of

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## This note was uploaded on 04/17/2008 for the course MATH 11 taught by Professor Poe,laurie during the Winter '08 term at Santa Clara.

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Math 11 Midterm 1 Review Sheet - Math 11 Midterm 1 Review...

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