For the given function f(x) and values of L, c, and e>0 find the largest open interval about c on which the inequality If(x)- LI 0 such that for all x satisfying 0< |x-c<8, the inequality f(x)-L

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For the given function f(x) and values of L, C, and e>0 find the largest open interval about c on which the inequality |f(x)- LI<e holds. Then determine the largest
value for &>0 such that for all x satisfying 0< x-c<8, the inequality f(x)-L <e holds.
f(x) = 6x+2, L= 32, c= 5, e=0.06
Transcribed Image Text:For the given function f(x) and values of L, C, and e>0 find the largest open interval about c on which the inequality |f(x)- LI<e holds. Then determine the largest value for &>0 such that for all x satisfying 0< x-c<8, the inequality f(x)-L <e holds. f(x) = 6x+2, L= 32, c= 5, e=0.06
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