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Deine F(x) as the product of two real fu...

Deine `F(x)` as the product of two real functions `f_1(x) = x, x in R`, and `f_2(x) ={ sin (1/x)`, if `x !=0, 0` if `x=0` follows : `F(x) = { f_1(x).f_2(x)` if `x !=0, 0`, if x = 0. Statement-1 : F(x) is continuous on R. Statement-2 : `f_1(x)` and `f_2(x)` are continuous on R.

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