MATH 166 Midterm: MATH 166 Ball State nbd2Solution

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Determine the following limits: determine whether the following series converge or diverge. Maths 166 review sheet ii: approximater 9. 1 ln 3x dx by the following meth- ods each with n = 4, the midpoint rule, the. Left endpoint riemann sum, the right end- point riemann sum, the trapezoid rule, simp- son"s rule: how large should you take n so that the. 12n2 where |f (x)| k for a x b. Evaluate those that converge. (a) z 0 (b) z 2 (c) z 1. 1 x2 dx x (x2 1)2 dx: for each of the following integrals, determine whether the integral converges or diverges using the comparison theorem. 1 (a) z (b) z (c) z . X3 8x + 7 dx a. ) b. ) c. ) d. ) a. ) b. ) c. ) d. ) e. ) f. ) g. ) 1 tan 1 x x2 dx: find the limit of the following sequences, if it exists. a. ) an = sin( n .