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1.2. Find dx 2.3. Give a limit definition to each integral a. Sof(x)dx b . So f ( x )dx c. of ( x ) dx 3.4. Evaluate J_ x4dx. Classify the integral as convergent or divergent? 4.5. Evaluate _ 2dx . Classify the integral as convergent or divergent? 5.6. Find the area bounded below by the curve y = xex and above by the x-axis if it exists. Warning: the graph lies below the x-axis -0.5 -0.5 0.5 6.C. Give three examples illustrating that a particular graph is discontinuous at a point. Graphs are sufficient for answers here. That is to say, you don't have to make up the actual functions (would be nice though if you could). HELP: Case 1. lim f(x) exists and f (c) exists but the two values are not equal x-c' Case 2. lim f (x) doesn't exist (recall from Calculus 1 that a limit of too for a limit still means x-c' that limit doesn't exist). Case 3. lim f (x) exists and f (c) doesn't exist X -c NOTE: When I say "f (c) doesn't exist", some instructors/books would say "f is not defined at c". Both phrases are equivalent. 7.7. a. A function has a discontinuity at upper limit b. Give a limit definition for Sa f (x)dx b. A function has a discontinuity at lower limit a. Give a limit definition for So f(x) dx 2 C. A function has a discontinuity at c where a