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Limits,[object Object],This slide show presented by: ,[object Object],Caroline Newton,[object Object]
What is a Limit?,[object Object]
Limits
Continuity~ The continuous graph ~,[object Object]
No ,[object Object],OR,[object Object],Asymptotes ,[object Object],All function values exist,[object Object],All limit values exist,[object Object],The function values for every ‘X’ = the limit values for every ‘X’,[object Object]
Discontinuity~ The discontinuous graph ~,[object Object]
A function value does not exist,[object Object],A limit value does not exist,[object Object],A function value does not equal the limit value at a particular ‘X’ value.,[object Object],BREAKZ!!!,[object Object],ASYMPTOPEZ!!!,[object Object],HOLEZ!!!,[object Object]
Limits to Infinity,[object Object]
Greatest exponent in den. = 0Greatest exponent equal = ratio of coefficientsGreatest exponents in num. = infinity or neg. infinity,[object Object]
Algebraically,[object Object]
The Substitute…,[object Object],SIMPLIFY if you can,[object Object],Table of values OR graph ,[object Object]

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