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Rutgers University-Camden 640:121 Calculus I Assignment 1.6 For questions 1 to 7, evaluate the limit or state that it does not exist. 1. lim x2 + 3x x--3x2 - x- 12 2. lim 2x2+ 3x +1 x-1 x2 - 2x -3 3. lim 1 1 t-+0+ Vt Vt 2 + t 4. lim x2 +9 - 5 2--4 x+4 5. lim sin 0 - cos 0 0-+7/4 tan0 - 1 6. lim 2(cos x)2 + 3 cos x - 2 2 cosx - 1 7. lim : ylny - y ye In(25) -57. lim ylny - y y e In (25) - 5 8. Use the Squeeze Theorem to prove that lim va[1 + (sin(27/x))"] = 0. x-+0+ 9. Assume that g(x) is a function such that -223 + 30x - x2 0 (that is, the above inequality is true when x is slightly less than 15). Find lim g(x). x+15- 10. Define f (x) = x2 +1 (20 - 2)2 if x