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 ·

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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