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 one-to-one?
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 straight-line segment joining ; compute
Explanation
Let P be the point in which represents the complex number.
Graph of the Straight-Line Segment
Graph of the straight-line segment
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. |
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| b. |
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| c. |
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| d. | Both b. and c. are correct |
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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) …