Question

Limits

Answer 1

@luigi0210
\[\lim_{x \rightarrow 0} \left ( \frac{3}{2x}-\frac{3}{2|x|} \right )\]

Answer 2

Latex no work for me

Answer 3

Is this a question, or is this for teaching him?

Answer 4

Solve how, algebraically?

Answer 5

I would approach it from negative infinity to zero and positive infinity to zero
tabulate the results
but that absolute value tells me that no limit exists

Answer 6

to me the limit clearly converges on both sides, and exists.

Answer 7

then let us do the algebra

Answer 8

limit does not exist

Answer 9

show your tabulation of DNE @sourwing

Answer 10

Oh wait, I'm reading it wrong, the x is in denominator isn't it.

Answer 11

When \(x>0\) then we know that the function is equal to \(0\).

Answer 12

|x| = x for x > 0 and -x for x < 0.

0 for x > 0, and -4/(3x) for x < 0

Answer 13

When \(x<0\) then we have \(\frac{6}{2x}\) which approaches \(-\infty\) when \(x\to 0\)

Answer 14

Enjoy these problems, @Luigi0210

Answer 15

Dear lord abb0t