Suppose f(x) ->+- and g(x)->+- as x-> + inf. Find examples of functions f and g with these properties as such that:

e. Thinking carefully again about the meaning of the symbols co and -co, explain how this is different from the determinate forms co + co and -co + -co. 6. Suppose f (x) - too and g(x) - too as x - too. Find examples of functions f and g with these properties and such that: a. lim [f ( 2) ] x-too Lg(x)] = +00 Prover (choose the functions): Explainer (check the limits): f (x ) = lim f (x) = x- + 00 ' g (x ) = lim g(x) = f ( x ) g(x) lim [2)] x-too g(x) 1 = b . lim [f ( x ) ] x-too g(x)] = -00 Prover (choose the functions): Explainer (check the limits): f ( x ) = lim f (x) = x-+ 00 g (x) = lim g(x) = x - + 00 g (x) lim 2] x-too g(x) C. lim = A, where A is any arbitrary real number that you choose yourself. x-too Lg(x)] Prover (choose the functions): Explainer (check the limits)