# Exam

Exam

1.-Let the sequence: 1, 4, 7, 10, .... Then a100 =

 a) 300 b) 298 c) 296 d) None of them

2.- Let the sequence: 8, 4, 2, 1,... Then a10 =

 a) 1/64 b) 1/32 c) 1/128 d) None of them

3.-

 a) ∞ b) 0 c) -∞ d) None of them

4.-

 a) ∞ b) 0 c) -∞ d) None of them

5.-

 a) e b) e-2 c) e-3 d) e-21

6.- Let     . Then the limit of f as x approaches 0 is:

 a) 0 b) -2 c) 2 d) None of them

7.-

 a) -4/6 b) 2/3 c) -2/3 d) 0

8.- The asymptotes of the function: ,  are:

 a) y = x, x = 0 b) y = x + 1, x = 0 c) y = 0, x = 0 d) None of them

9.- The asymptotes of the function:   , are:

 a) y = 0, x = 2 b) y = 1, x = ±2 c) y = 0, x = ±2 d) None of them

10.- Study the continuity of the function:

 a) f is continuous in R b) f is continuous in R - {-1,1,2}. In x = -1, f has a jump discontinuity, with jump 2, in x = 1, f has a removable discontinuity and in x = 2, f has an infinite jump discontinuity. c) f is continuous in R - {-1,2}. In x = -1, f has a jump discontinuity, with jump 2, and in x = 2, f has an infinite jump discontinuity. d) f is continuous in R - {1,2}. In x = 1, f has a removable discontinuity and in x = 2, f has an infinite jump discontinuity.