MAT-1110 Midterm: MATH 1110 App State summer2012 Test1
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If a limit does not exist, write dne . (a) consider the function f (x) whose graph is lim x 3+ f (x) = lim x 3 f (x) = lim x 4 f (x) = Where is f (x) continuous? (b) determine lim x 2 x2 + x 6 x2 2x. Use the limit de nition of the derivative to nd f (x). /16 points) random questions! (a) suppose that g (x) is constant. What can we conclude about g(x)? (b) let h(x) be a function which is everywhere di erentiable. Yes / no (c) let f (x) be a function which is everywhere di erentiable such that f (1) = 4 and f (4) = 12. The mean value theorem guarantees that f (c) = for some c where. < c < (d) let k(x) = |x 2| (the absolute value of x 2).
