MATH 126 Midterm: fall2011
Document Summary
You must show your work to obtain full credit. Points may be deducted if you do not justify your nal answer. Please indicate clearly whenever you continue your work on the back of the page. You can use one self-prepared handwritten formula sheet (one piece of letter size paper, both sides may be used): (i) find real numbers a and r such that lim x axr ( . 2 arctan x) = 1. (ii) determine whether or not the limit exists. If the limit exists nd it, and indicate clearly how you obtained your answer. If the limit does not exist give reasons why. (1 + sin 3x)2/x lim x 0: evaluate the integrals. (i) x ln x dx (ii) (iii) 2x2 + x 6. 4 x2 x3 + 3x2 x2 dx dx: in each case determine whether the integral is convergent or divergent. Remember to justify your answers. n2 sin n.
