continuity

Prove that f(x) = [x²] - [x]² is discontinuous for all integral values of x except only at x = 1.

1 Answers

1357

Manish Shankar ·2012-06-12 23:17:21

lets take an integer, I

At I⁺

the espression is [I⁺²]-[I⁺]²=I²-I²=0

At I^-

[I(-)²]-[I(-)]²=I²-1-(I-1)²=-2+2I

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