a. In a metric Space (X, d) if (xn) and (yn) are two sequences in X such that : X - x€ X and yn → y € X given (n) # 0 and y # 0 Show that: Yn у b. Show that every Convergent Sequence is a Cauchy Sequence

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98
Kis ll "
b58ec5b0-8fOa...
a. In a metric Space (X, d) if (xn) and (yn) are two
sequences in X such that :
х, — хеХапd y, — у ЄХgiven (yуn) # 0 and y # 0
Show that:
Yn
y
b. Show that every Convergent Sequence is a Cauchy
Sequence
Transcribed Image Text:98 Kis ll " b58ec5b0-8fOa... a. In a metric Space (X, d) if (xn) and (yn) are two sequences in X such that : х, — хеХапd y, — у ЄХgiven (yуn) # 0 and y # 0 Show that: Yn y b. Show that every Convergent Sequence is a Cauchy Sequence
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