NBHM (National Board for Higher Mathematics) MSc and MA Mathematics: Questions 20  26 of 101
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Question number: 20
Appeared in Year: 2008
Describe in Detail
Determine if each of the following series is absolutely convergent, conditionally convergent or divergent:
a)
b)
c)
Explanation
Option (a) The given series is
Here
Take
… (185 more words) …
Question number: 21
» Continuity and Differentiability
Appeared in Year: 2005
Describe in Detail
Let n be a positive integer. Let and let. For what value of n will f be twice differentiable but its second derivative discontinuous at?
Explanation
Let
i. e
… (171 more words) …
Question number: 22
Appeared in Year: 2007
Question
Let . Which of the following function are analytic in the entire complex plane?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 23
Appeared in Year: 2015
Describe in Detail
Find the sum of the following series upto n terms.
Explanation
Let be the rth term of the given series. Then
… (113 more words) …
Question number: 24
Appeared in Year: 2014
Describe in Detail
Let . Evaluate
Explanation
applying
Applying
Taking common from
… (94 more words) …
Question number: 25
Appeared in Year: 2007
Write in Short
Evaluate:
Question number: 26
Appeared in Year: 2013
Write in Short
Find the points where the function is continous