MAT 295 Midterm: MAT_295_F_12

• School: Syracuse University
• Department: Mathematics
• Course: MAT 295
• Professor: All

Document Summary

Do not get bogged down on any one problem. (do not write belo\v this line, this section is for grading purposes only. ) 1: (20 points) evaluate the following limits, if they exist. Cos ( x) (b) lim x-? x (cid:157) 2 ix - 21 (c) lim li (cid:157)o. Jh+9 h (d) (e) lim ln(3+e2x) x (cid:157) oo. 5x: :(16 po1nts) find the following derivatives. "2x + 5)) dy (c) dx where y = ( yx)x (d) g"(x) where g(x) = l. ~dt t: (6 points) the graph of ji consisting of straight hne segments1 is given below. Use the graph to find the following values . 0 + - - - -+ - - -~ " - ------ii----+ ------; ,----. 4,. 5 (cid:127) - . (cid:127) p t. 6x f x = ( x2 + 1 )3 . 2x (a) find all of the vertical and horizontal asymptotes off. (d) circle the graph of j. u ot.