Question

lim 1/(sqrt(1+x)-1) as x->0

Answer 1

\[\lim_{x \rightarrow 0}\frac{ 1 }{ \sqrt{x+1}-1 } =\infty \]

Answer 2

There is no other solution?

Answer 3

Try Rationalizing .!

Answer 4

I tried that

Answer 5

Still infinity

Answer 6

With L'Hopital I get 0

Answer 7

But I need solution without it