Question

raiz quadrada de x-1 +raiz quadrada de2x-2=2

Answer 1

x+2)-√2x]/(x-2)= 
x--->2 

Lim[√(x+2)-√2x]/ 
x--->2 
/(x-2).[√(x+2)+√2x]/[√(x+2)+√2x]= 

Lim[x+2-2x]/ 
x--->2 
/[x√(x+2)-2√(x+2)+x√2x-2√2x]= 

Lim[-x+2]/[(x-2)√(x+2)+(x-2)√2x]= 
x--->2 

Lim-[x-2]/(x-2)[√(x+2)+√2x]= 
x--->2 

Lim-1/[√(x+2)+√2x]= 
x--->2 

Lim-1/[√(2+2)+√2.2]= 
x--->2 

Lim-1/[√4+√4]= 
x--->2 


Lim-1/[2+2]=-1/4 
x--->2