MATH 1200 Final: Final Exam 2014
11 Jan 2019
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For each of the following, please ll in your nal answer in the box provided at the right side of the page. For what values of x is (x + 2)(x 4) (x 1) Evaluate lim s 4 s 4 s2 16. State the rst-principles de nition of the derivative of a function g(x). For questions a6 and a7, consider the limit given by lim x 5 (3x e x). Write out the formal de nition for this limit (but please, do not prove it). For questions a8 through a12, consider the function f (x) = Evaluate lim x 0 f (x). x2, if x 0 ln(x), if 0 < x < 1 ex, if x 1. Is f (x) continuous at x = 1? (yes or no) For questions a13 and a14, consider the function f (x) = x + 3 x2 9. Evaluate d dt (ln(t + a)), where a is any constant.
