1. Today in Calculus
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Notes: Limits
Homework

2. 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.

3. Example Is undefined at x = 1
To find the limit as x approaches 1, look at graph
look at table x y
0.997
0.998
0.999
1.000
error
1.001
1.002
1.003

4. Example
Algebraically
Then f(1) = -0.5 so

5. Limits

6. Limits 4 1 7

7. Limits

8. Limits

9. Homework
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