MTH641 Midterm Quiz No 1 solution by taleemi markaz
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Questions:
Closure of Irrationals = _____________.
A subset A of a metric space X is ______ in X iff A intersect every non empty open set.
(𝟎,𝟐)∩[𝟏,𝟑]=
The Closure of a set consists of all ____________ of that set.
Let S be a set of real numbers. Then S has a supremum if S has ___________.
For 𝑨={(𝒙,𝒚)|𝒙^𝟐+𝒚^𝟐≤𝟏, ∀𝒙,𝒚(ℝ,𝒅)}, the Boundary(Frontier) of 𝑨=___________
A Cauchy sequence is
𝑪[𝒂,𝒃] is a function space as its every point is a __________________.
Let (ℝ,𝒅) be a usual metric space and ℤ⊆ℝ, then which of the following is correct option?
In a discrete metric space 𝑿, every subset is