(a)  Sketch the graph of y = f(x), given the following: • f(−1) = 2; f(0) = 3; lim x→−∞ f(x) = 1; lim x→∞ f(x) = 0; lim x→1−f(x) = −∞; lim x→1+f(x) =+∞ • f0(0) = 0; f0(x) > 0 for x ∈ (−∞,0); f0(x) < 0 for x ∈ (0,1)∪(1,∞) • f00(−1) = 0; f00(x) < 0 for x ∈ (−1,1); f00(x) > 0 for x ∈ (−∞,−1)∪(1,∞)

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.