bounded convergence theorem इन हिंदी

bounded: आबद्ध परिबंधित

bounded convergence: परिबद्ध अभिसरण

convergence: अभिसारिता संसृति

theorem: सूत्र उपपाद्य

	1.	Royden gives the bounded convergence theorem as an application of the third principle.
	2.	Indeed, the bounded convergence theorem ( a corollary of the dominated convergence theorem ) of real analysis states that if a sequence of functions on a set of finite measure is uniformly bounded and converges pointwise, then passage of the limit under the integral is valid.

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