Real Analysis Answers

Prove that an open interval in R is an open set and a closed intervals is a closed set

Every non-empty subset of natural numbers has a least element.
a.Well-ordering Principle
b.Ordering Principle
c.Least common Principle
d.Division Principle

Prove that an open interval in R is an open set and a closed intervals is a closed set

Prove that an open interval in R is an open set and a closed intervals is a closed set

Prove that an open interval in R is an open set and a closed intervals is a closed set

Prove that an open interval in R is an open set and a closed intervals is a closed set

Prove that an open interval in R is an open set and a closed intervals is a closed set

using the sequential definition of continuity, prove that the function f :r to r , defined by f (x) = 3x^2+7, for all x belong to r, is continuous

Prove that an open interval in R is an open set and a closed intervals is a closed set

Prove that an open interval in R is an open set and a closed intervals is a closed set