1.-Let the sequence: 1, 4, 7, 10, .... Then a_{100} =

a) 300

b) 298

c) 296

d) None of them

2.- Let the sequence: 8, 4, 2, 1,... Then a_{10} =

a) 1/64

b) 1/32

c) 1/128

3.-

a) ∞

b) 0

c) -∞

4.-

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

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

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

a) y = 0, x = 2

b) y = 1, x = ±2

c) y = 0, x = ±2

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.

Licensed under the Creative Commons Attribution Non-commercial Share Alike 3.0 License