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Use Definition 4.2.1 to supply a proper proof for the following limit statements. (a) lim as...

Use Definition 4.2.1 to supply a proper proof for the following limit statements.

(a) lim as x→2 of (3x + 4) = 10.

(d) lim as x→3 of 1/x =1 /3.

Definition 4.2.1 (Functional Limit). Let f : A → R, and let c be a limit point of the domain A. We say that limx→c f(x)=L provided that, for all ϵ>0, there exists a δ>0 such that whenever 0 < |x−c| <δ(and x ∈ A) it follows that |f(x)−L| <ϵ

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