Find

  1. lim [x],x tends to 2
  2. lim [x],x tends to 5/2
  3. lim [x].x tends to 1

  1. lim [x],x tends to 2
  2. lim [x],x tends to 5/2
  3. lim [x].x tends to 1

1.

since [x] is the greatest integer function,

therefore LHL is not equal to RHL, hence limit does not exist.

 

2.

3.

therefore for x tends to1 limit does not exist.

  • -16
  1.  limit does not exist since LHL is not equal to RHL
  2. limit exists since LHL=RHL
  3. Limit does not exist since LHL is not equal to RHL
  • -4
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