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$$f(x)=[arctan(x)] $$ we are given this problem to check this function's continuity and find out where it's discontinuous , note that $[]$ donotes greatest integer function now the problem comes when we have to get that value of $arctan(x)$ which is $\ge 1$ and $\le -1$ now how do we go on to find out this?

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The last part of your question makes no sense to me. Would you mind clarifying it? – Alex Provost Aug 23 '13 at 15:54
@Rajath thanks i got it , it was my stupidity :P – Tesla Aug 23 '13 at 15:59

Hint: Greatest integer function is discontinuous at integer points. Therefore, the given function will be discontinuous when arctan(x) is an integer.

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