5 Questions of Calculus I - Exam 1 | MATH 235, Exams of Calculus

Download 5 Questions of Calculus I - Exam 1 | MATH 235 and more Exams Calculus in PDF only on Docsity! 235 TEST 1 You may use your notebook during the last half hour of this exam. You may NOT use calculators, cell phones, or peeking. Math 235 September 30, 2010 Name: By printing my name I pledge to uphold the honor code. 1. For each limit form below, write “???” if the form is indeterminate. For those that are not indeterminate, describe what they must ultimately approach by choosing from this list: 0, 1, !, or "!. 1 0+ 0+ 1 0+ 0! 0+ ! ! ! 1 ! 0+ ·! ! · ("!) !"! 2. Transcendental party! Show your work so I can see how you arrived at your answers. a) Sketch a graph of f(x) = 3 " e"2x. Label any important features. b) Find the domain of f(x) = x ln(x " 2) and write it in interval notation. c) Find the exact value of sin"1(" # 2 2 ). 3. Calculate each of the following limits. Show your work so I can see how you arrived at your answers and possibly award partial credit. a) lim x$! e4x e4x " 1 b) lim x$"! e4x e4x " 1 c) lim x$0 e4x e4x " 1