- #1
jrjack
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Homework Statement
Suppose [itex]|f(x)-5|<0.1[/itex] when 0<x<5.
Find all values [itex]\delta>0[/itex] such that [itex]|f(x)-5|<0.1[/itex] whenever [itex]0<|x-2|<\delta[/itex]
Homework Equations
The Attempt at a Solution
I know that [tex]0<|x-2|<\delta[/tex]
[tex] 2-\delta<x<2+\delta[/tex]
[tex]\delta=2[/tex]
but how does this part of the equation help me find delta?
[tex]|f(x)-5|<0.1[/tex]
[tex]4.9<f(x)<5.1[/tex]
I don't undestand it's use in this problem, if the other part gave me [itex]\delta=2[/itex]