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Resumen estudio de asíntotas dada una función
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  • Matemáticas
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  • ESO

En este documento podrás encontrar 3 ejercicios sobre el estudio de asíntotas dada una función. Cada uno con su respectivo procedimiento desglosado esquemáticamente en pasos acompañado de gráficas para un mejor entendimiento y claridad de los conceptos.

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Document information

  • August 29, 2024
  • 14
  • 2023/2024
  • Class notes
  • Diego
  • All classes

Subjects

  • tipos de asíntotas
  • estudio de estás dada una función

Written for

  • Secondary school
  • ESO
  • Matemáticas
  • 4
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ASÍNTOTAS
EJERCICIOS RESUELTOS

, 2x 1
1) Estudia las asíntotas de la función f  x   .
x3
 Asíntotas horizontales
2x 1 2x 
lim f  x   lim  lim  lim 2  2 
x x x  3 x  x x
  y  2 es una asíntota horizontal de f
2x 1 2x 
lim f  x   lim  lim  lim 2  2
(por ambos lados)

x x x  3 x  x x 
Posición de la curva respecto de la asíntota
Le damos un valor lo suficientemente elevado  x    .
2  100  1 199
f 100     2.0515  2
100  3 97
Por lo tanto, por la derecha  x    , la curva está por encima de la
asíntota.
Le damos un valor lo suficientemente bajo  x    .
2   100   1 201 201
f  100      1,9515  2
100  3 103 103
Por lo tanto, por la izquierda  x    , la curva está por debajo de la
asíntota.




I.E.S. “Miguel de Cervantes” – Departamento de Matemáticas - GBG 1

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