NBHM (National Board for Higher Mathematics) MSc and MA Mathematics: Questions 1  7 of 101
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Question number: 1
» Sequences and Series (Convergence)
Appeared in Year: 2006
Write in Short
For what value of p does the following series converge?
Question number: 2
» Continuity and Differentiability
Appeared in Year: 2005
Describe in Detail
Let is a differentiable function such that for all . For what value of will be the function be necessarily onetoone?
Explanation
Let
Then
if ………. . eq. (
… (114 more words) …
Question number: 3
» Line Integral in Complex Plane
Appeared in Year: 2009
Describe in Detail
Let and let f be defined by
If C is the straightline segment joining ; compute
Explanation
Let P be the point in which represents the complex number.
is the line from
On so that
… (73 more words) …
Question number: 4
Appeared in Year: 2006
Question
Pick out the function which are continous atleast at one point in the real line.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Both b. and c. are correct 

Question number: 5
Appeared in Year: 2008
Write in Short
Write down an equation of degree four satisfied by all the complex fifth roots of unity.
Question number: 6
Appeared in Year: 2008
Describe in Detail
Evaluate:
Explanation
This is exponential form form
Using the Result
If
Then
… (124 more words) …
Question number: 7
Appeared in Year: 2014
Describe in Detail
Find the sum of the following infinite series.
Explanation
… (100 more words) …