MATH 220 Midterm: MATH 220 KSU Test 1f11

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Please make sure that your cell phone is turned o . You will have 75 minutes to complete the exam. 100: (3 points each) consider the graph of y = f (x) above. State the value of each of the below quantities. If the limit does not exist, write does not exist . f (x: lim x 0. C. lim x 1+ f (x) f (x: lim x 1 f (x, lim x 2 f (x, lim x 3, (5 points each) evaluate the following limits. (show your work. , lim x 2 x 2 x2 4. 2 + t 2 t 2: lim t 2, lim x 0 x2 sin(cid:18) 1 x(cid:19) Use the rules for derivatives, not the limit de nition of the derivative. Use the limit de nition of the derivative, and show your work: (4 points) suppose that a waiter brings you a bowl of hot soup.