Teacher/User Name: DEMO Name:__________________________
Practice Problems Period: ________ Date: ____________

 
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Solve:

1) Given the limit:
lim
x → 1
-5x + 2 = -3

find δ such that |(-5x + 2) +3| < 0.001 whenever 0 < |x - 1| < δ.





2) Use the ε-δ definition of limit to prove that:
lim
x → 1
x -4 = -3
3) Given the limit:
lim
x → 7
-5x = -35

find δ such that |(-5x) +35| < 0.01 whenever 0 < |x - 7| < δ.





4) Use the ε-δ definition of limit to prove that:
lim
x → 2
3x + 2 = 8

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