hello you all, i'm new here.. i'd like if you help me in this question.
f and g are function defined in a punctured neighborhood of X0, and L is a real number.
assuming lim(x->x0) (f times g)(x)=L
i need to prove\disprove that if lim(x->x0) f(x)=infinity, then lim(x->x0) g(x) exists.
it would be very helpful if you also instruct me in the general way of proving such questions, because i'm kinda new in this subject...