MTH641 quiz no 1 solution by taleemi markaz part 1

MTH641 Quiz No.1 with 100% accurate Solution. For More Parts Click The Links Given below: Part 1    • MTH641 quiz no 1 solution by taleemi marka...   Part 2    • MTH641 quiz no 1 solution by taleemi marka...   #MTH641Quiz1 #mth641midquiz #mth641quizno1 #mth641midterm #FUNCTIONAL_ANALYSIS Quiz: 0 and 1 are the limit points of __________ ⊂(ℝ,𝒅). 𝒅(𝒙,𝒚)=|𝒙−𝒚| is a usual metric defined on 𝜹(𝑨)=〖𝑺𝒖𝒑〗_(𝒙,𝒚∈𝑨) 𝒅(𝒙,𝒚) Represents the ______ for a non-empty subset A of (X,d) In, ∅≠𝑨⊂(𝑿,𝒅), a point 𝒙 is a limit point of 𝑨, if _________ points of 𝑨 other than 𝒙. ‖𝒛−𝒙‖^𝟐+‖𝒛−𝒚‖^𝟐=𝟏/𝟐 ‖𝒙−𝒚‖^𝟐+𝟐‖𝒛−𝟏/𝟐(𝒙+𝒚)‖^𝟐 is called ____________. In a discrete metric space 𝑿, every subset is Complete norm space is called a __________. Let (ℝ,𝒅) be a usual metric space and ℝ−ℚ⊆ℝ, then which of the following is correct option? Complete inner product space is called a _________ 𝑪[𝒂,𝒃] shows the space of all ________ defined on [𝒂,,𝒃]