গণিত প্রশ্ন

Which of the following statement is /are correct ?(i)The number L is the limit of f(x) as x→ax \rightarrow a if, given any ∈>0\in > 0, there existsa value of x for which ∣f(x)−L∣<∈|f(x)-L|<\in(ii) The number L is the limit of f(x) as x→ax \rightarrow a, if for every number , ∈>0\in > 0there exists a corresponding number δ>0\delta>0 such that for all x, if 0<|x - a|< δ\deltathen ∣f(x)−L∣<∈|f(x)-L|<\in.(iii) The number L is the limit of f(x) as x→ax \rightarrow a, if f(x) gets closer to L as xapproaches a.(iv) The number L is the limit of f(x) as x→ax \rightarrow a, if the values of f(x) can be made asclose as we like to L by making x sufficiently close to a ( but not equal to a) .