Bolzano Weierstrass Theorem //Interior point & Limit point // Limit of a function

Neighborhood of a point::-
 Interior point and Limit point 
 ■■■Def::-
                  Let (a,b) belongs to R^2 . The nbd of (a,b) is a subset S of R^2 such that (a,b) €S . If the point (a,b) is excluded from the nbd , the nbd is called the deleted nbd of (a,b) .
 
●●●Bolzano Weierstrass Theorem in R^2 ::--
 (Every bounded infinite set S € R^2 has at least one Limit point in R^2)
  Def::-
        Let S€ R^2 . The set of all limit points of S is called the derived set of S and denoted by S' . A set S€ R^2 is called a Closed set if S€ S' .
Limit of a Function::-
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ALL THEOREM & EXAMPLE::-