Today in Precalculus Notes: Limits (no calculators) Go over quiz homework
Limits As the inputs of a function get infinitesimally close to a value c, the limit tells if value of the function is getting close to some value L. Read “limit as x approaches c of f of x equals L” It’s asking “What is the value of f(x) as x approaches c”. It is NOT asking what is the value of f(x) at x = c.
Example Is undefined at x = 1 To find the limit as x approaches 1, look at graph look at table x y 0.997 2.991 0.998 2.994 0.999 2.997 1.000 error 1.001 3.003 1.002 3.006 1.003 3.009
Example Algebraically Then f(1) = 3 so
Limits
Limits 4 1 7
Limits
Limits
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