O2
Find Delta for the limit
lim x-5 (x-1)^1/2 =2 for E=1
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Given a function y=f(x) and an x-value, c, we say that "the limit of the function f, ... limx→cf(x)=L⟺∀ϵ>0,∃δ>0s.t.0<|x−c|<δ⟶|f(x)−L|<ϵ.) ... Remember, we want to find a symmetric interval of x values, namely ... If 1<x<3, then 3<x+2<5 (add 2 to all terms in the inequality). ... We have shown that limx→0ex=1.
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I hope this helps.
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