Question

Solve:--

Answer 1

\[\lim_{x \rightarrow o} |x|/x\]

Answer 2

no limit

Answer 3

not exist

Answer 4

Do it with \[x \to 0^+\] and \[x \to 0^-\]

Answer 5

since as before
\[\frac{|x|}{x} = \left\{\begin{array}{rcc}
-1 & \text{if} & x <0 \\
1& \text{if} & x>0
\end{array}
\right.
\]

Answer 6

If This limit is equal to 1, Then what to do?

Answer 7

If I only want to do this by taking \[x \rightarrow0\] , Then?

Answer 8

while finding limits you have to approach from certain path. a limit said to be undefined if the value of its limit turns out. to be different while approaching from different paths.
here, if I approach fro the positive side of x-axis i get +1 and if I approach from -ve side I get -1
so teh limit is undefined

Answer 9

oh yeah! I got it thanx to all for co-operating.