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(Solved): Using formal defintion:Suppose f is defined on some punctured interval centred at 0 , and let linR. ...
Using formal defintion:Suppose f is defined on some punctured interval centred at 0 , and let linR. Prove that:
(a) \lim_(x->0^(+))f(x)=L if and only if \lim_(x->0^(-))f(-x)=L;
(b) \lim_(x->0)f(x^(2))=L if and only if \lim_(x->0^(+))f(x)=L.