MATH 126 Midterm: MATH 126 USC M126 Fall 13s
Document Summary
Calculators, notes, books, or consultation with others is not allowed. Only the proctor may answer questions that arise. Show your work and make your answers to each problem clear. The backs of sheets may be used for scratch paper, but if any part of a solution is on the back of a sheet, then you must indicate that to the grader. 1) (30 points) for each part below, carefully justify mathematically whether the limit exists, including , or does not exist. If the limit exists find it: lim x!0 x ! tan x x ! sin x, lim x!0+ (cos x)(ln x, lim x!" x x + 3 x. 2) (30 points) a) find x 2 + x 3. 1! x 2 dx x 2 (ln x)2 dx: why does the integral. 3) (30 points) let a be the region under the graph of f(x) = x 2 + x +1 x 2 (x 2 +1)
