Lim as x goes to 0 of (x-(sqrt(x)) divided by sqrt(x)

[river pecan]

limx goes to 0 x*(sqrt(x)-1) divided by x

=limx goes to 0 sqrt(x) -1 =-1

the result is -1

[prime cradle]

@bitter owl has your question been answered or do you want more explanation

[safe dock]

\begin{align*}\lim_{x\to0}\frac{x-\sqrt x}{\sqrt x}&=\lim_{x\to0}\frac{\sqrt x\sqrt x-\sqrt x}{\sqrt x}\
&=\lim_{x\to0}\frac{\sqrt x\sqrt x}{\sqrt x}-\frac{\sqrt x}{\sqrt x}\
&=\lim_{x\to0}(\sqrt x-1)\
&=\sqrt0-1\
&=\boxed{-1}\end{align*}

[urban grotto]

mtt07734

[safe dock]

.close