Relations between convergence of series and convergence of sequences
نویسندگان
چکیده
منابع مشابه
6: Sequences and Series of Functions, Convergence
Proposition 1.2. Let (X, d) be a metric space. Let (x)j=k be a sequence of elements of X. Let x, x′ be elements of X. Assume that the sequence (x)j=k converges to x with respect to d. Assume also that the sequence (x)j=k converges to x ′ with respect to d. Then x = x′. Proposition 1.3. Let a < b be real numbers, and let f : [a, b] → R be a function which is both continuous and strictly monotone...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1976
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1976.64.465