MATH 165 Midterm: MATH 165 Iowa State MidtermPDMF16Fall2016
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Disclaimer: this is not the departmental midterm, and was initially written without reference to the departmental midterm. This may or may not have problems similar to the actual midterm. That being said, if you can do well on this practice midterm you also will do well on the departmental exam. Round 1: find the following limits: (a) lim x 1. 3x 1 x2 + 2x 3 x+2 (b) lim. 3 + 1 1 (c) lim t . 1 (c) find lim x 1 f(x) does not exist. or explain why it (d) find lim x 3 f(cid:0)f(x)(cid:1) or explain why it does not exist. Round 2: use the de nition of the derivative to nd the derivative of f(t) = (no credit for nding the derivative using other methods!) 4 t: find the horizontal asymptote(s) for f(x) = The following were originally problems that were included in a rst draft and draw from materials in section 3. 8.