Question

Mostre que:
$\lim_{x \to \ 1+}$$\frac{x^{3} -1}{x^{2} -2x+1}$ = ∞

Answer 1

$\tt \displaystyle \lim _{x\to 1}\:\frac{x^3-1}{1+x^2-2x+1}=\infty \\\\\\\tt \lim _{x\to \:1}\left(\frac{x^3-1}{1+x^2-2x+1}\right)=0 \:\\\\\\\tt 0=\infty \:\\\\\\\to \boxed{\tt Falso}$