APPM 1350 Final: appm1350spring2018examfinal_sol
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Spring 2018: (a)(13pts) (i) what is the domain of g(x) = Give your answer in interval notation. (ii) find all horizontal asymptotes of g(x), justify your answer with limits. x2 + x x2 + 3x + 2 (b)(13pts) find the real number a so that the function f (x) = = 1 lim x thus the horizontal asymptote of g(x) is y = 1. (b)(13pts) recall that continuity requires lim x a f (x) is continuous for x 6= 0 by properties of continuous functions. Show all work and be sure to classify your answer either using the first. Derivative test or the second derivative test. (b)(15pts) evaluate the de nite integral z (c)(5pts) if f (x) = , then which of the choices below corresponds to z f (x) dx? (no justi cation neces- sary - choose only one answer, copy down the entire answer. ) (2 + tanh(x))2.
