Question

prove by using epsilon-delta definition of limit..

Answer 1

\[ \lim_{x \rightarrow 0} \sqrt{x}=0\]

Answer 2

\[|\sqrt{x}| <|x|<\delta \] how can I show this..

Answer 3

i hate epsilon-delta definition of a limit

Answer 4

for every \[\epsilon > 0\] there exists a \[\delta > 0\] such that \[\left| \sqrt{x}-0 \right|<\epsilon \] whenever \[0<\left| x-0 \right|<\delta \]