Question

Qual o limite da função f(x) = (x^2 - 196) ∕ ( x – 14), para x = 14:
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Answer 1

$\displaystyle \sf \lim_{x \to 14} \frac{x^2-196}{x-14} \to \lim_{x \to 14} \frac{(x-14)(x+14)}{x-14} \to \lim_{x \to 14} x+14 \\\\\\ fazendo \ x = 14 , \ temos : \\\\ 14+14 = 28 \\\\ Portanto :\\\\ \boxed{\sf \lim_{x \to 14} \frac{x^2-196}{x-14} = 28 }$