Question

Help with my first limit problem!

Answer 1

Which is?

Answer 2

\[\lim_{x \rightarrow } \sqrt{x ^{2}+x+1}-\sqrt{x^2+1 } \]

Answer 3

x tending to infinity

Answer 4

And this is your first limit problem? Well this escalated quickly.

Answer 5

replace x by 1/y
when x->infinity, y->0

Answer 6

That's tough for a first limit promlem lol...

Answer 7

I'm stuck here..

Answer 8

I rationalized first
then took x^2 common in denominator then took it out of square root,and cancled with x in numerator
Did anyone get O.o

Answer 9

@hartnn did you get what i did?
and can be little detailed?

Answer 10

yesm i got, now u can put 1/x =0 because x-> infinity so 1/x->0

Answer 11

put. 1/x and 1/x^2 = 0

Answer 12

1/infinity =0?
Is this generalization?

Answer 13

I'm getting 1/root2