Question
Check whether the set of integers is countable or not.
Answer :
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A set is said to be countable if its elements can be put into one-to-one correspondence with the set of natural numbers. The set of integers consists of all positive integers, negative integers,
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Related Questions
Test the convergence of the series: .
जाँच कीजिए कि पूर्णांकों का समुच्चय गणनीय है या नहीं।
State Bolzano-Weierstrass theorem. Use it to check whether the set:
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Prove that every convergent sequence is Cauchy.
सिद्ध कीजिए कि प्रत्येक अभिसारी अनुक्रम कौशी होता है।
जाँच कीजिए कि अनुक्रम , जिसे इस प्रकार से परिभाषित किया जाता है:
, और
.
अभिसारी है या नहीं।