midterm_sample

# midterm_sample - Math 115 Sample Midterm Exam The midterm...

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Math 115 Sample Midterm Exam The midterm exam will consist of 25 Multiple-Choice problems. The practice problems below are intended to be representative of what might appear on the exam. Multiple-Choice Problems 1. The domain of function f ( x ) = x + 3 2 x 2 - x - 3 is (A) ( -∞ , + ) (B) ( -∞ , 3 2 ) ( 3 2 , + ) (C) ( -∞ , - 1) ( - 1 , + ) (D) ( -∞ , - 1) ( - 1 , 3 2 ) ( 3 2 , + ) (E) None of the above 2. The domain of function f ( x ) = 2 x x 2 - 4 is 3. Let f ( x ) = 1 x 2 and g ( x ) = 3 x + 5. Then, ( g f )( x ) is 4. Find lim x 3 x 2 - 9 x - 3 . 5. Find lim x 0 1 + x - 1 x . (A) 1 2 (B) limit does not exist (C) 0 (D) - 1 (E) None of the above 6. Find lim x →∞ 3 x 2 + 2 x + 4 2 x 2 - 3 x + 1 . 1

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