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9. The value of the limit lim (+ + in(e + () is (A) 1 (B) 3 (C) 1.5 (D) 2 (E) 20 -1 (F)
9. The value of the limit lim (+ + in(e + () is (A) 1 (B) 3 (C) 1.5 (D) 2 (E) 20 -1 (F) +1 (G) -1 (H) I+e (1) None of (A) - (H).10. Let A. m > 2 be constants. A box with no top is constructed with A metres of material. The length of the box is m times the width of the box. What fraction of A is the area of the base of the box that has maximum volume ? (A) (B) (C) (D) (E) 16 (F) (G) (H) None of (A) - (G). 11. Exactly how many of the following statements are always true ? . In(s' - x) = In(x) + In(x - 1) for all r > 0. . The definite integral of a continuous function over [a, ] is the function obtained by taking the limit of a Riemann sum. . If f'(x) = f(x) for all real z, then /(x) = e'. . If a is a real constant, then ( x' de = a+1 + C (Where C is an arbitrary constant ). . If f has a relative maximum at a critical value c, then f"(c)
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