find the functions $\displaystyle f$ and $\displaystyle g$
$\displaystyle
\lim_{x \to c}{f(x)} = \infty$ and $\displaystyle \lim_{x \to c}{g(x)} = \infty$
but
$\displaystyle \lim_{x \to c}{[f(x) - g(x)]} \ne 0$
find the functions $\displaystyle f$ and $\displaystyle g$
$\displaystyle
\lim_{x \to c}{f(x)} = \infty$ and $\displaystyle \lim_{x \to c}{g(x)} = \infty$
but
$\displaystyle \lim_{x \to c}{[f(x) - g(x)]} \ne 0$