NBHM (National Board for Higher Mathematics) MSc and MA Mathematics: Questions 57  64 of 101
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Question number: 57
Appeared in Year: 2007
Describe in Detail
Evaluate
Explanation
Let ……. eq. (1)
… (160 more words) …
Question number: 58
» Differentiability in Complex Plane
Appeared in Year: 2008
Describe in Detail
Which of the following maps are differentiable everywhere?
a)
b) Such that for all
c) Where
Explanation
Option (a)
Clearly f is continuous for all
Clearly f is differentiable for all except we can’t say
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Question number: 59
Appeared in Year: 2010
Describe in Detail
In each of the following verify whether the series is absolutely convergent conditionally or divergent:
a)
b)
c)
Explanation
Option (a) The given series is
Where
Now
………….
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Question number: 60
Appeared in Year: 2005
Describe in Detail
Find the sum of the series
Explanation
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Question number: 61
» Convergence of Positive Series Test
Appeared in Year: 2009
Describe in Detail
Test the following series for convergence.
a)
b)
Where is a convergent series of positive terms.
Explanation
Option (a) The given series is
Here
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Question number: 62
Appeared in Year: 2013
Write in Short
Evaluate
Question number: 63
Appeared in Year: 2014
Describe in Detail
Find the sum of the following infinite series
Explanation
………. eq. (A) [ Rearranging the terms]
Now we know that
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Question number: 64
Appeared in Year: 2012
Question
Determine if the following claim is true or false:
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 
