Write delta-epsilon proofs for each of the limit statements $\lim_{x \to c} f (x) = L$ in Exercises $47 - 60$ .
$\lim_{x \to 2} (3 x^{2} - 12 x + 15) = 3$ .

Question

Write delta-epsilon proofs for each of the limit statements $\lim_{x \to c} f (x) = L$ in Exercises $47 - 60$ .
$\lim_{x \to 2} (3 x^{2} - 12 x + 15) = 3$ .

Accepted Answer

Delta-epsilon proof for $\lim_{x \to 2} (3 x^{2} - 12 x + 15) = 3$ is, whenever $0 < |x - 2| < δ$ , we also have localid="1648022427369" $|(3 x^{2} - 12 x + 15) - 3| < ε$ .

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Write delta-epsilon proofs for each of the limit statements $\lim_{x \to c} f (x) = L$ in Exercises $47 - 60$ .
$\lim_{x \to 2} (3 x^{2} - 12 x + 15) = 3$ .

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Write delta-epsilon proofs for each of the limit statements limx→cfx=L in Exercises 47-60.limx→23x2-12x+15=3.

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Write delta-epsilon proofs for each of the limit statements $\lim_{x \to c} f (x) = L$ in Exercises $47 - 60$ .
$\lim_{x \to 2} (3 x^{2} - 12 x + 15) = 3$ .