Problem

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

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, limxc P(x) = P(c).


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


(c) In evaluating limxa f(x) we only consider points x that are greater than a.


(d) If f is defined in a deleted neighborhood of c, then limxc.f(x) = L iff limxe + f(x) = limxc- f(x) = L.

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Solutions For Problems in Chapter 5.20S