NBHM (National Board for Higher Mathematics) MSc and MA Mathematics: Questions 81  88 of 101
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Question number: 81
Appeared in Year: 2014
Question
Let . Which of the following statements are true?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All a. , b. and c. are correct 

Question number: 82
Appeared in Year: 2009
Describe in Detail
Let
Examine whether admits a local maximum or minimum at ?
Explanation
Here
Now
… (116 more words) …
Question number: 83
Appeared in Year: 2010
Describe in Detail
Find the sum of the infinite series:
Explanation
Let
Consider the series
……. . eq. (A)
Comparing eq. (A) with the stand
… (134 more words) …
Question number: 84
» Convergence of Positive Series Test
Appeared in Year: 2011
Describe in Detail
Test the following series for convergence.
a)
b)
Explanation
Option (a) The given series is
… (136 more words) …
Question number: 85
Appeared in Year: 2006
Describe in Detail
Find the interval of convergence of the series
Explanation
The given series is
Put
The given power series
Let
… (128 more words) …
Question number: 86
Appeared in Year: 2013
Describe in Detail
Evaluate
Explanation
… (93 more words) …
Question number: 87
» Definite Integral as Limit of a Sum
Appeared in Year: 2008
Describe in Detail
Evaluate
Explanation
Replacing by the sign of
… (85 more words) …
Question number: 88
Appeared in Year: 2016
Question
Let Which of the following statements are true?
Choices
Choice (4)  Response  

a.  is rational for all 

b.  is Irrational for all 

c.  is rational if 

d.  All of the above 
