Given limx—>2 f(x) = -1 and limx—>2 g(x) = 4, use the limits properties and show all of the steps to find (see below)

Question

Answer 1

lim_x->2(3f(x)-(g(x))²)/(g(x)-1/3) = lim_x->2(3f(x)-(g(x))²)/lim_x->2(g(x)-1/3)

= (3lim_x->f(x) - (limx->g(x))²)/(lim_x->2g(x) -1/3) = (3(-1) -4²)/(4-1/3) = -19/(11/3) = -57/11