13.I. Suppose that (rn) is a convergent sequence of points which lies, together with its limit x, in a set D E R. Suppose that (fm) converges on D to the function f. Is it true that f(x) = lim...

13.I

Extracted text: 13.I. Suppose that (rn) is a convergent sequence of points which lies, together with its limit x, in a set D E R. Suppose that (fm) converges on D to the function f. Is it true that f(x) = lim (fa(n))? 13.J. Consider the preceding exercise with the additional hypothesis that the