help please, it is very urgent !

E. [7 marks} (a) Let f be dened on [3A5] with f{3] = 5|) and f{45]| = 2. If f is oontinuous on the interval {31.45}, is it true that there must be some number c: E {3. 45} such that He} = II]? if you believe it is true, justiFy your reasoning. IF you believe it is false, show it with an example. 2 h 2 (b) Let g be some Function such that 33(2) = l and 1|limb W = 6. Find the value of limgylm}. Please |~ 13- justify all your reasoning