Question

LIMIT 2/x - 2/IxI
x->0

Answer 1

Calculate the left limit and the right limit first.

Answer 2

it is 2/x - 2/IxI = 1

Answer 3

@liana123?? This is limits, you haven't learnt it yet

Answer 4

exactly @liana123??

Answer 5

what

Answer 6

\[\lim_{x \rightarrow 0} (\frac{ 2 }{ x }) -(\frac{ 2 }{ \left| x \right| })\]

Answer 7

Find the left limit and the right limit first

Answer 8

That is \(\displaystyle\lim_{x\rightarrow0^-}\frac2x-\frac2{|x|}\) and \(\displaystyle\lim_{x\rightarrow0^+}\frac2x-\frac2{|x|}\)

Answer 9

give him abit more hint @kc_kennylau

Answer 10

Recall yourself the definition of |x|:
\[|x|=\left\{\begin{array}{lr}x&\mbox{if }x\ge0\\-x&\mbox{if }x<0\end{array}\right.\]

Answer 11

\[0/-x ^{2}\] and \[0/x ^{2}\]

Answer 12

Don't use LaTeX if you can't use it, ASCII can do you everything

Answer 13

this is all I am getting, or should I choose another way. All I kow is that the limit does not exist coz of the absolute value

Answer 14

@random231 I don't know how to do lol, you teach him? :P

Answer 15

if limit does not exists you cannot solve it can u?

Answer 16

I mean the common denominator is x squared, and and subtracting the two gave me a zero over x squares and a zero over minus x-squared, just as I have put in latex.

Answer 17

uh i am not used to this thingi am sorry i cant give u wrong answers. :((

Answer 18

I have the answers fro wolfaramalpha, I do not have the working.

Answer 19

whats the answer?

Answer 20

here it is attached

Answer 21

@random, EUREKA!

Answer 22

Thing is, the limit \[1/x \lim_{x \rightarrow 0}\] seems as if it does not exist. Howevr, when you compute the the limit manually in a table, you wil find that as x approaches \[0^{+}\], \[1/x\] increases without bound and become , and the oposite is true for \[0^{-}\], it decreases without bound and become \[-\]

Answer 23

\[- \infty\]