Several statements are presented below; mark each one as either T ("TRUE") or F ("FALSE"). No work need be included for this problem.

a) If f'(2) exists then lim f(x) = f(2) = lim f(x) = lim f(x). I-+2 I-+2+ b) The tangent line for y = f(x) at the point (c, f (c)) has as its equation y = f(c) + f'(c)(x - c). c) The two functions r(t) = 12-vi+sin't+4 and ((t) =12-t/2-costto have the same derivative. 2 d) lim = 1. 8-+0