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Ejercicios de límites y continuidad - Amolasmates

Ejercicios de límites y continuidad - Amolasmates

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16<br />

Ejercicio nº 13.-<br />

Resuelve:<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

4<br />

2<br />

a)<br />

3<br />

2<br />

2<br />

x<br />

x<br />

lim<br />

x<br />

1<br />

2<br />

3<br />

b)<br />

<br />

<br />

<br />

x<br />

x<br />

lim<br />

x<br />

tg<br />

lim<br />

x<br />

4<br />

c)<br />

<br />

<br />

Solución:<br />

0<br />

2<br />

2<br />

4<br />

2<br />

a)<br />

3<br />

2<br />

2<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

x<br />

x<br />

lim<br />

x<br />

3<br />

1<br />

3<br />

3<br />

b)<br />

1<br />

1<br />

2<br />

<br />

<br />

<br />

<br />

<br />

x<br />

x lim<br />

1<br />

4<br />

c)<br />

4<br />

<br />

<br />

<br />

<br />

<br />

tg<br />

x<br />

tg<br />

lim<br />

x<br />

Ejercicio nº 14.-<br />

3.<br />

en<br />

y<br />

1<br />

en<br />

2<br />

3<br />

función<br />

la<br />

<strong>de</strong><br />

límite<br />

el<br />

Calcula<br />

4<br />

<br />

<br />

<br />

<br />

x<br />

x<br />

x<br />

x<br />

x<br />

f<br />

Solución:<br />

6<br />

1<br />

2<br />

1<br />

3<br />

1<br />

2<br />

3<br />

4<br />

1<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

x<br />

x<br />

lim<br />

x<br />

2<br />

51<br />

2<br />

3<br />

27<br />

2<br />

3<br />

4<br />

3<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

x<br />

x<br />

lim<br />

x<br />

Ejercicio nº 15.-<br />

Calcula los siguientes <strong>límites</strong>:<br />

3<br />

2<br />

4<br />

a) 2<br />

3 <br />

<br />

x<br />

x<br />

lim<br />

x<br />

9<br />

b)<br />

2<br />

3<br />

<br />

<br />

x<br />

lim<br />

x<br />

x<br />

cos<br />

lim<br />

x 0<br />

c) <br />

Solución:<br />

9<br />

2<br />

18<br />

4<br />

3<br />

6<br />

9<br />

4<br />

3<br />

2<br />

4<br />

a) 2<br />

3<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

x<br />

x<br />

lim<br />

x<br />

0<br />

0<br />

9<br />

9<br />

9<br />

b)<br />

2<br />

3<br />

<br />

<br />

<br />

<br />

<br />

<br />

x<br />

lim<br />

x<br />

1<br />

0<br />

c)<br />

0<br />

<br />

<br />

<br />

cos<br />

x<br />

cos<br />

lim<br />

x

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