Using the epsilon-delta definition of continuity prove that the function f:(R)/(/){0,2}->R defined by the formula f(x) = (1)/(x(2-x)) is continuous at the point x_(0) = 1.
a) ε > 0, δ = ε/2
b) ε > 0, δ = ε
c) ε > 0, δ = ε/(2-x)
d) ε > 0, δ = 2ε