Let f : D → R and let c be an accumulation point of D. Mark each statement True or False. Justify each answer. (a) For any polynomial P and any c ∈ R, lim x → c P (x) = P (c). (b) For any polynomials...

Let f : D → R and let c be an accumulation point of D. Mark each statement

True or False. Justify each answer.

(a) For any polynomial P and any c ∈ R, lim
_{x → c}
P (x) = P (c).

(b) For any polynomials P and Q and any c ∈ R,

(c) In evaluating lim
_{x → a −}
f (x) we only consider points x that are greater than a.

(d) If f is defined in a deleted neighborhood of c, then lim_{x → c}
f (x) = L iff lim
_{x → c +}
f (x) = lim
_{x → c −}
f (x) = L.