# Find lim [x],x tends to 2 lim [x],x tends to 5/2 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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