Question

Se cinsidera functia f: R - R
f(x) = x-1 supra x la a doua - x +1

Sa se calculeze lim cand x tinde la 2 pe f(x) supra x-1

Answer 1

[tex]fx= \frac{x-1}{x^2-x+1} \\ \\ \lim_{x \to \ 2} \frac{x-1}{x^2-x+1} * \frac{1}{x-1} = \lim_{x \to \ 2 } \frac{1}{x^2-x+1} = \frac{1}{4-2+1} = \frac{1}{3} [/tex]