Question

can you help me with this limit when x tends to zero,
(1/x)(1/√(1+x^-2)), I find an indeterminate form for the denominator

Answer 1

\[\lim_{x\to0}\frac1x\frac1{\sqrt{1+x^{-2}}}?\]

Answer 2

If so, after performing some algebra, you see that this is the same as\[\lim_{x\to0}\frac{1}{\sqrt{x^2+1}}.\]

Answer 3

it becomes \[1/\sqrt{1+x^2}\]

Answer 4

put x=0 and u have ur answer

Answer 5

the limit is 1 thanks guys!