LIMITS, PLEASE HELP

Question

show that

lim_→(0,0) (|x|^a|x|^b) ⁄ (|x|^c +|x|^d)

this does not exist

Answer 1

show that

lim_→(0,0) (|x|^a|x|^b) ⁄ (|x|^c +|x|^d)

this does not exist

Looking at the denominator, (|x|^c +|x|^d) cannot = 0

But when x→0, (|x|^c +|x|^d) = 0 which proves that the limit cannot exist