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Sample Final Exam with Solutions - Calculus I - Introduction |, Exams of Calculus

Material Type: Exam; Class: Calculus 1 - Introduction; Subject: Mathematics; University: West Chester University of Pennsylvania; Term: Forever 1989;

Typology: Exams

2010/2011

Uploaded on 05/03/2011

mcclemons2010
mcclemons2010 🇺🇸

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MAT 161—Sample Final Exam Name: Solubion s Calculators are NOT allowed. Show all work using correct mathematical notation. 1. Calculate each of the following limits. be > 3K (a) lim © = Vw ff = 3 20 x ut Ko 4 io™ © a4 b) li = = ( alt z—1 A ‘ot Ine i. + () lim = = lim XQ z+00 — ve Kd i “we” x om VOEtIA=4 | [3x41 FA ; SK AG (d) lim —~ 2 = lim - a te = - i : ‘ oes Jan +4 xy Gs) (Tee) +4) ao 3 = tim Ses) | xaos (xs) ( Fear +4) - \ 3 = vw —— = ROT A 3ce) +4 2. Sketch the graph of a function y = f(x) with the following properties: (i) f is continuous but not differentiable at z= —1 (il) F(-2) =0 oes (iii) #"(—3) =0 Bessibility « ( ( iv) jim, f(x) = oo ¥) lim f(x) =2 [- Q fur