analysis Definition Right-sided Limit Let f:D→R be a function. f has a right-sided limit c∈R at x0 if: x→x0+limf(x)=c⟺∀ε>0 ∃δ>0 ∀x∈D:(x0<x<x0+δ⟹∣f(x)−c∣<ε) or: x→x0+limf(x)=c⟺∀(xn)n∈N:(xn>x0∧n→∞limxn=x0)⟹n→∞limf(xn)=c with xn∈D.