Algebraic properties of R and examples

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#Sequence of natural numbers is divergent #Reciprocal of a convergent sequence converges to reciprocal of limit provided if limit nonzero #Convergence of a sequence explained #Every convergent sequence is bounded #Definition of Bounded sequence and examples #Definition of sequence, convergence and examples #Absolute value of a convergent sequence converge to absolute value of the limit #Difference of two convergent sequence converge to difference of their limits #Show that 1/ n does not converge to 1 #Neighborhood explained with examples #Arch#Archimedean Property #Triangle Inequality #if a is positive then its reciprocal also positive #real analysis #a is positive then 1/a is also positive #sherbert and bartle #number system #natural #integer #rational #irrarational #Real
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