act 7 -8 -9 -11

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1

es:

Seleccione una respuesta.

a. -3

b. 1/3

c. -1/3

d. 3

2

El lmite de cuando x tiende a infinito es :


a. No existe

b. 2

c. Cero

d.

3

Uno de los siguientes casos no es una indeterminacin:


a. 0-0
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b.

c. Infinito - infinito

d. 0*infinito

4

La respuesta correcta de la solucin del lmite , es:


a. 1

b. 6

c. 2

d. 4

5

El lmite, cuando x tiende a infinito, de {1/xn}, es:


a. Infinito

b. 0

c. n

d. x

6
http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?%5Clim_%7Bx%5Cto%5C0%7D+%5Cleft+%5Csqrt%281%2Bx%29+%2B+sqrt%281-x%29%5Cright%5Chttp://66.165.175.247/campus07_20131/filter/tex/displaytex.php?%5Cfrac%7B0%7D%7B0%7D

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El lmite cuando b tiende a cero de es:


a. 1

b. 0

c. -1

d. Infinito

7

Dos de los siguientes son mtodos algebricos para resolver lmites:


a. Factorizacin - Lmites al infinito

b. Racionalizacin - Regla de L'Hopital

c. Factorizacin - Racionalizacin

d. Lmites al infinito - Regla de L'Hopital

8

El lmite de cuando x tiende al valor 1 es:


a. 1

b. Cero
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c. Infinito

d. No existe

9

El lmte de una constante k, es:


a. Cero

b.

c.

d. La misma constante k

10

La respuesta correcta para el lmite , es:


ACT 9

1

La solucin del lmite de la funcin trigonomtrica , es:

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a. 0.5

b. 1

c. 0

d. 1.5

2

es:


a. 1/3

b. 3

c. -1/3

d. -3

3

es:


a. -1

b. 1

c. No existe
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d. 0

4

Al solucionar el lmite , obtenemos:


a.

b.

c.

d.

5

Una de estas funciones NO es continua en x = 2:


a.

b.

c.

d.

6
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El lim [f(x) + g(x)], es:


a. Lim f(x) - lim g(x)

b. lim f(x) + lim g(x)

c. lim f(x) * g(x)

d. {lim f(x) - lim g(x)}/lim g(x)^2

7

es:


a. 0

b. Infinito

c. 4

d. No existe

8

es:


a. 0

b. No existe.
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c.

d.

9

El lmte de una constante k, es:


a.

b. Cero

c. La misma constante k

d.

10

Al desarrollar el siguiente lmite , se obtiene:


a. -1

b. 2

c. 1

d. -2

11
http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?%5Clim_%7Bx%5Cto%5Cinfty%7D+%5Cleft%281%2B%5Cfrac%7B2%7D%7Bx%7D%5Cright%29%5Chttp://66.165.175.247/campus07_20131/filter/tex/displaytex.php?%5Cinftyhttp://66.165.175.247/campus07_20131/filter/tex/displaytex.php?-%5Cinftyhttp://66.165.175.247/campus07_20131/filter/tex/displaytex.php?%5Cfrac%7B2%5Csqrt%7B2%7D%7D%7B5%7Dhttp://66.165.175.247/campus07_20131/filter/tex/displaytex.php?%5Cfrac%7B2%5Csqrt%7B2%7D%7D%7B3%7D

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El lmite de f (x) = y cuando la variable x tiende a 20 es:


a. 5y

b. 5

c. y

d. No existe

12

Al resolver el limite cuando y tiende a infinito, se obtiene un valor de:


a. 3

b. -3

c.

d.

13

Si la funcin fes continua en a es porque:


a.

b.
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c. si solo si

d. Su grfica no presenta un salto en a

14

El lmite, cuando n tiende a 2, de es:


a. -1/3

b. -2/3

c. 1/3

d. 2/3

15

El lmite de cuando x tiende al valor 1 es:


a. 1

b. No existe

c. Infinito

d. Cero
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ACT 8

1

El lmite, cuando c tiende a 1, de , es:


a. 1

b. 0

c. 5

d. 4

2

El lim [f(x) + g(x)], es:



b. {lim f(x) - lim g(x)}/lim g(x)^2

c. lim f(x) * g(x)

d. lim f(x) + lim g(x)

3

El lmite, cuando x tiende a -2, de , es:

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a.

b.

c.

d.

4

Al desarrollar el siguiente lmite , se obtiene:


a.

b. 1

c. 0

d.

5

El lmite, cuando x tiende a 4, , es:


a. 2

b. -2

c. 3
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d. 4

6

es:


a. 4

b. 1

c. 3

d. 0

7

La solucin del lmite , es:


a. x

b. 2x

c. 0

d. -2x

8

El lmite de una constante k multiplicado por una funcin f(x), es:

http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?%5Clim_%7Ba%5Cto%5C+0%7D+%5Cleft%7B%5Cfrac%7B%28x%2Ba%29%5E2-x%5E2%7D%7Ba%7D%5Cright%7D%5Chttp://66.165.175.247/campus07_20131/filter/tex/displaytex.php?%5Clim_%7Bx%5Cto%5Cpropto%7D%5Cleft%28%5Csqrt%7Bx%2B2%7D%5Cright%29-%5Cleft%28%5Csqrt%7Bx-2%7D%5Cright%29

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a. lim (k) / lim f(x)

b. Cero

c. k*lim f(x)

d. lim (k) + lim f(x)

9

El lmite de f(x)/g(x) es:



b. {lim f(x) - lim g(x)}/lim g(x)^2

c. lim f(x) * g(x)

d. lim f(x) / lim g(x)

10

es:


a. 7

b. 0

c. 6

d. 5
http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?%5Clim_%7Bx+%5Cto+2%7D%5Cleft%28+%5Cfrac%7B%284-x%5E2%29%7D%7B3-%5Csqrt%7Bx%5E2%2B5%7D%5Cright%29

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ACT 11

1

La derivada de es:


a.

b.

c.

d.

2

La segunda derivada de


a.

b.

c.

d.

3

La derivada de

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a.

b.

c.

d.

4

La derivada de es:


a.

b.

c.

d. 1

5

La derivada de es:


a.

b. 2 sen

c. -2 sen

d.
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6

La segunda derivada o de segundo orden de es:


a.

b.

c.

d.

7

La derivada de es:


a.

b.

c.

d.

8

La derivada implcita y' de x - y = 3 es:


a. y' = 3
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b. y' = xy

c. y' = 1

d. y' = x

9

La segunda derivada de


a.

b.

c.

d.

10

La derivada de es:


a.

b.

c.

d.
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act 7 -8 -9 -11

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