cauchy sequence in Hindi - cauchy sequence meaning in Hindi

	1.	In the real numbers every Cauchy sequence converges to some limit.
	2.	In these cases, the concept of a Cauchy sequence is useful.
	3.	In metric spaces, one can define Cauchy sequences.
	4.	In a similar way one can define Cauchy sequences of rational or complex numbers.
	5.	Clearly, any sequence with a modulus of Cauchy convergence is a Cauchy sequence.
	6.	In a general metric space, however, a Cauchy sequence need not converge.
	7.	By definition, in a Hilbert space any Cauchy sequence converges to a limit.
	8.	The usual decimal notation can be translated to Cauchy sequences in a natural way.
	9.	Thus one may speak of uniform continuity, uniform convergence, and Cauchy sequences.
	10.	Cauchy completeness is related to the construction of the real numbers using Cauchy sequences.

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cauchy sequence meaning in Hindi