Limites
TEMA: LÍMITES DE FUNCIONES
-Empleando la definición de límite, demostrar que:
1. [pic]
Solución:
Si [pic] para [pic]Si [pic]
[pic]
2. [pic]
Solución
Si [pic] para [pic]
[pic] Si[pic] [pic]
[pic] [pic] [pic]
[pic] [pic]
[pic]
3. [pic]
Solución
Si [pic] para [pic]
[pic]Si [pic]
[pic]
[pic]
[pic]
[pic]
4. [pic]Solución
Si [pic] para [pic] Si [pic]
[pic] . [pic]([pic]
[pic] [pic]
[pic][pic]
[pic] .[pic]
[pic][pic]
[pic] [pic]
([pic]6.[pic]
Solución
[pic] para [pic]
[pic] [pic] [pic] =>[pic]
[pic] [pic] =>[pic]
[pic]
[pic]([pic]
7. [pic]
Solución
Si[pic] para [pic] [pic]
[pic] Si [pic] ( x[pic] -10 y a[pic]1
Solución
Desarrollando:[pic]
=>[pic]=[pic]
24. [pic]
Solución
Desarrollando y Reemplazando:
[pic]
26. [pic]
Solución
Desarrollando: [pic]=>[pic]=[pic]
27. [pic]
Solución
Desarrollando: [pic]
=>[pic]=[pic]=[pic]
([pic]=[pic]
28. [pic]
Solución
Hacemos: [pic] ( y =[pic] Si x =>...
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