Q15 of 318 Page 29

Find:

We know greatest integer [x] is the integer part.


For f(x) = [x]


To find:



To limit to exist we know …….(1)


Thus to find the limit using the concept ……(2)


……..(3)


……(4)



From above equations



Thus limit does not exists.


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Prove that lim_ x arrowa^+ [x] = [a] for all a ∈ R. Also, prove that lim_ x arrow1^- [x] = 0.

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