Need help to understand what is the correct answer for both Question 1 and Question 2. Thank you

Question 1 Assume a and L are finite numbers. Which of the following must be TRUE? O If lim f(x) - L then f(a) - L. O If lim f(x) = lim g(x) = [ then f(a) = g(a). O If g(a) - 0 then lim f (2) does not exist. rag(x None of above Question 2 Let C be the graph of the function f(a) - ac2 - 1 . Which of the following is a property of f(z ) O lim f(r) = 00 O lim f(a) - 0 O x = -1 is a vertical asymptote of C. O y = 0 is a horizontal asymptote of C