1. Mark each statement True or False. Justify each answer. (a) The indeterminate form 0/0 can approach any real number as a limit. (b) In order to apply l’Hospital’s rule to f/g at a point c, g ′(x)...

1. Mark each statement True or False. Justify each answer.

(a) The indeterminate form 0/0 can approach any real number as a limit.

(b) In order to apply l’Hospital’s rule to f/g at a point c, g ′(x) must be nonzero throughout a neighborhood of c.

2. Mark each statement True or False. Justify each answer.

(a) If lim_x→
 f (x) =
, then for any k ∈ R, lim_x→
 k/f (x) = 0.

(b) If for every k ∈ R, lim_x→
 k/f (x) = 0, then lim_x→
 f (x) =
.