Exhibit an open cover of the interval (1, 2] that has no finite subcover.

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Q: 3. Find an open cover of (x:x>0} with no finite subcover.

A:

Q: Prove that all points in the open interval (0,1) are limit-points (we are working on the real line)

A: Prove that all points in the open interval (0,1) are limit-points (we are working on the real line)

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A: Given : Pu :ℝn→ℝn is a projection onto a line and v∈ℝn To show : ∥Puv∥≤∥v∥

Q: graph'the Sorution to the follow imy inginequratityon animber line nur (x-2) (x+5) z O

A: Solving the problem by doing the graph.

Q: flx) = x (x-2)+g Eメとス ;if x22 Show that there exists a S such +hat 1x-2166 implies fex)-8<A

A: