real analysis math homework help

Hello, please I need you  answers  this  questions with details so I can understand it   :

# 1 page282 , # 2 page 282  , # 5 page 282 , # 6 page 282  .

and exercise : construct a close and bounded subset of C[ a,b] that is not compact?

the book methods of real analysis, goldberg and the link the book below:

https://alansinyal.files.wordpress.com/2012/08/method-of-real-analysis.pdf

thank you.

 

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