MAC 2311 Midterm: MAC2311 S10 Test 1
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For the function f (x) = 2x x2, nd f (x) using f (x) = lim h 0 f (x + h) f (x) h (3) (10 pts. ) Find the limit, if it exists, otherwise say why it does not exist. (a) lim x sin 2x x (b) lim x . Find the limit, if it exists, otherwise say why it does not exist. 1 + 2x 5 x 2 lim x 2. Answer the following for the function f (x) = (a) state the set of x values where f is continuous: x3. Answer the following for the function f (x) = (a) describe the domain. (b) find the asymptotes. (c) find the x-intercepts. (d) sketch the graph of y = f (x). x2 4. Use the given graph of f (x) = x to nd a number such that. The graph of y = f (x) is given.
