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MTH631 - Real Analysis II Assignment No 01 Spring 2020 Solution & Discussion Due Date: 10-06-2020

MTH631 - Real Analysis II Assignment No 01 Spring 2020 Solution & Discussion Due Date: 10-06-2020

Assignment # 01

MTH631 (Spring-2020)

                Total marks: 20

                                                                               

                                                              

                      Due Date: Wednesday, June 10, 2020

 

Important Instructions

 

  • 50% marks will be deducted from obtained in case of late submission through email request. So better to upload your solution on VULMS within due date in order to avoid deduction.
  • After uploading the solution file, no assignment will never be accepted. 50% marks will be deducted from obtained in case of late submission through email request.
  • If you face some technical problem in your labs, you should ask the responsible person there to contact VU’s administration and state the problem for getting a solution. No excuse regarding the late and by-mail submission of assignments is acceptable from now onward.
  • Avoid copying because many students lose their marks by providing their assignments to others even after having done a lot of hard work. Keep your assignment safe.
  • Solve the assignment on MS word document and upload your word (.doc) files only. Do not solve the assignment in any other format; otherwise it will be marked zero.

 

Problem 1

 

  Discuss the Pointwise and Uniform Convergence of the sequence of functions defined and given by;

 

Also prove or disprove the relation:  

 

 

Problem 2

 

Show that the following series converges uniformly on


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