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I want to check if my work is right, could someone please help? graph of f 1. The graph of y = f (x) is

I want to check if my work is right, could someone please help?

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graph of f 1. The graph of y = f (x) is shown above. What is lim f (x) ? (A) - 1 (B) 1 (C) 3 (D) the limit does not exist 3TC cos(x) - cos- 2. What is ling 2 ? x -+2 2 (A) -1 (B) 0 (C) 1 (D) nonexistent 3x2 - 5x - 2 3. lim is X-2 In(x - 1) (A) 7 (B) 8 (C) e2 (D) O 3x2 - 5x - 2 4. For what value(s) of x does f (x) = - x2 - 7x + 10 have a removable discontinuity? (A) 2 (B) 5 (C) 2 and 5 (D) 3 and 55x3-x-I-4 5. What is the value oil: If x1191\" m = 10? l 1 (A) -2 (3 -5 (C) 5 (D) -2 6. The graph of y = Hz) is shown above. Which statement correctiy describes the interval (2.5. 4)? (A) The function is continuous and differentiable. (B) The function is continuous but not differentiable. (C) The function is differentiable but not continuous. (D) The function is neither continuous nor differentiable. 1.9 l .99 1.999 2.001 2.01 2.1 0.056 0.022 0.001 - 0.002 - 0.037 - 0.080 7. The function h is continuous and decreasing for x > 0. Which of the following values best approximates ling 3 cos(h(x)) ? (M0 (B) 1 (C) 2 (D) 3 8. Evaluate lim M n-co Z ( - 1 + m ) K= 1 31 (A) 5 33 (B) (C) 3 (D) 15 9. The continuous and differentiable function f is given by f (x) = fax + 2 for x 3 (x2 + b for x > 3 . Find b - a. (A) 5 (B) 6 (C) 11 (D) 17 O (2,3) 10. The piecewise function f (x) is made of two line segments and a semi-circle as shown for -5 S x 5 4. Find lim f (2 - x2) or determine if it does not exist. (A) - 1 (B) O (C) 3 (D) Does not exist

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