Question

Limit posting question below

Answer 1

what's the limit of time until helpers leave?

Answer 2

you have the question ?

Answer 3

3 minutes of not posting the question on this site is like 3 decades >;(

Answer 4

If you're impatient, Parth. :p

Answer 5

As an example:)

Answer 6

show that \[\lim_{x \rightarrow0 ^{+}}\] absolute value x/x=1
show that \[\lim_{x \rightarrow0 ^{-}}\] absolute value x/x=-1

Answer 7

Er. Doesn't this just follow from the definition of \(|x|\)?

Answer 8

@dpaInc @ParthKohli

Answer 9

\[\left| x \right|/x\] absolute value is like this

Answer 10

show?... as in epsilon-delta definition?

Answer 11

@.Sam. @FoolForMath @lgbasallote @Limitless @myininaya @ParthKohli @UnkleRhaukus

Answer 12

Clarification needed, Ajay. How are we supposed to show this? \(\epsilon\)-\(\delta\) style or just say, "by common sense"?

Answer 13

Show that \[\lim_{x \rightarrow 0^{+}} (\left| x \right|/x) = 1\]

Answer 14

\[ x\rightarrow 0^+, |x| = +ve, \; x=+ve \\
\lim_{x \rightarrow 0^+}\frac{|x|}x = 1\]

\[ x\rightarrow 0^+, |x| = +ve, \; x=-ve \\
\lim_{x \rightarrow 0^-}\frac{|x|}x = -1\]