3. For each statement, determine whether it is TRUE or FALSE. (Enter T or F in the middle of the box) (a) Let f be a function defined on R. If f2 is continuous at a, then f is continuous at a. (b) Let f, g, and h be functions defined on R and let a Є R. If VxR, f(x)g(x) ≤ h(x), ⚫lima f(x) exists and lima h(x) = ∞, then lima 9(x) exists or is oo. Let f and g be functions defined on R and let a € R. If lima f(x)g(x) = 0, then lima f(x) = 0 and lim→a 9(x) = 0.

May I ask for a handwritten answer/non-AI generated answer for this question since I really need a well-rounded explanation? Thank you!