Propiedades Limites

PORPIEDADES DE LÍMITES
x  x0 x  x0 x  x0 x  x0

TEOREMA DEL BINOMIO
n n (a  b) n    a n  k (b) k k 0  k  n Tk 1    a n  k (b) kk 

lim C  C lim Cf ( x )  C lim f ( x )
x  x0

lim  f ( x )  g ( x )   lim f ( x )  lim g ( x )  
x  x0 x  x0

lim  f ( x ) g ( x )  lim f ( x ) lim g ( x )   x  x0 x  x0 lim f( x) g( x ) 
x  x0 x  x0 g( x )

lim f ( x )

x  x0

lim g ( x )  lim  f ( x )  xx0  
x x0 lim g( x )

n   k  2  n  par    Tc    k  n  1 ; k  n  1  n  impar  2  1   2 2 
TECNICA 2 LIMITES

x  x0

lim  f ( x )  

lim log a f ( x )   log a  lim f ( x )    x  x0  x  x0   
x  x0

lim

lim

n

f ( x )  n lim f ( x )
x  x0

ax n  .....  bxc : x n  n  mayor  indice x  cx n  ...  dx b : x n

IDENTIDADES TRIGONOMETRICAS

Tecnica3

cos 2   sen 2  1 sec 2   1  tg 2 sen(   ) sen cos   cos  sen cos(   )  cos  cos   sen s e n  sen 2  2sen cos  cos 2  cos 2   sen 2 sen cos

1  senx  1 senx lim x  x  a1  senx  1 1 senx 1   xa xa xa 1 senx 1 lim  lim  lim x  x  a x  x  a x  x  a
Tecnica4


2

 

1  cos  2 1  cos  2

2

x (  a )

lim



ax  ...  bx  cx 
n m



ax n  ...  bx m  cx ax n  ...  bx m  cx

Tecnica6

senx 1 x 0 x 1  cos x cos x 1 lim  0  lim x 0 x 0 x x x e 1 lim 1 x 0 x lim

Tecnica5

lim 1  x  x  e
x 

1

 1 lim 1    e x   x

x...