smilie2015
  • smilie2015
A function f(x)=x/absolute x is *not continuous at x=1 *continuous at x=1 plz explain and also why is it?
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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ganeshie8
  • ganeshie8
As a start, compute below two : 1) \(f(1)\) 2) \(\lim\limits_{x\to 1}f(x) \)
smilie2015
  • smilie2015
ok i got it , it will be continuous at 1 but will be discontinuous at 0 i am right ??
smilie2015
  • smilie2015
@ganeshie8

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ganeshie8
  • ganeshie8
Is the function even defined at x = 0 ?
smilie2015
  • smilie2015
domain?
ganeshie8
  • ganeshie8
yes, whats the value of f(0) ?
smilie2015
  • smilie2015
undefined ? ryt
ganeshie8
  • ganeshie8
If the function itself is undefined at x=0, how can you talk about whether it is continuous or not at x = 0 ?
smilie2015
  • smilie2015
oook so at 1 it is continuous
ganeshie8
  • ganeshie8
Yes, the function is continuous at every point in its domain.
smilie2015
  • smilie2015
okk
smilie2015
  • smilie2015
thanks :)
ganeshie8
  • ganeshie8
btw, x = 0 is not in its domain
ganeshie8
  • ganeshie8
yw :)

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