Continuity of functions containing signum function

Continuity of functions containing greatest integer function

The composition of two continuous functions is a continuous function.

Continuity of Compound Functions

The composition of two continuous function is a continuous function.

If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional part function and [.] denotes greatest integer function and sgn(x) is a signum function)

Continuity of composite function at a point

Modulus Function, Signum Function

FPF || Signum Function

Continuity OF Composite Functions

Continuity OF Composite Functions