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. |
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| b. |
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| c. |
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| d. | Question does not provide sufficient data or is vague |
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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