Limit problem? can you do it for me please ! ?

Question

CAN YOU SOLVE THIS PROBLEM

LIM F(X)= IxI / ( IxI+1 )

x ==> Infinity

Answer 1

Sure.

The limit as x approaches infinity is 1.

Answer 2

LIM F(X) = 0 at all values of X except for -1.

At -1 Lim F(X) Does Not Exist.

Answer 3

lim f(x) = lxl/(lxl +1)------> approaches 1

x-->infin

lim f(-1) = 1/1+1 = 1/2

limf(0) = 0/1 =0

limf(1) = 1/2

Answer 4

if you divide the numerator and denomenator with "x", then you'll get  

1/ [ 1+(1/x)]  and as x --> infinity, you get 1/(1+0)   = 1