A compact set.
An example of a compact set in Real Analysis is the _____ ______ ___ ___ ___.
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निम्नलिखित श्रेणी के अभिसरण की जाँच कीजिए :
Show that [a,∞)is closed set.
b) Write the following statement, and its negation, using logical quantifiers. Also interpret its negation in words.
∃ x∈R such that x-1/3 > 0.
Prove that the sequence (an)n∈N, where an = 32 / x2 + 22 , is Cauchy.
कॉशी समाकल परीक्षण द्वारा निम्नलिखित मूल्यांकन कीजिए :
A set which has no limit point
Let x and y be two real numbers such that x < y.Show that there exists an irrational number λ such that
x < λ < y.
Test the following series for convergence: