true or false

1. (20%) True or False (a) lim f(x) = L, if f'(a) = L. x->a g(x) g'(a) In(x) (b) For x>10, the ratio approaches 0 as x -> co. Vx-10 (3x3 +12x2 -8x+1) (c) lim = 3. X->00 (x2 +2)(3x-1) (d) lim sin(x) = 1. x-0 3x (e) y=0 is an asymptote for y=1/x. 7x+1 (f) y=7/5 is an asymptote for y = 5x -8 lim Vx In(x) = 0o (g) x->0 (h) X = -1 is an asymptote of y = Vx+1 (i) The quadratic equation y = ax +bx+c (a #0) can have at most one extreme value (local max or min) over an open interval (X1, X2). (j) lim x Vx = 1 X-0