NBHM (National Board for Higher Mathematics) MSc and MA Mathematics: Questions 96  100 of 101
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Question number: 96
Appeared in Year: 2012
Describe in Detail
Let . Fill in the blanks with the correct sign :
a) ________
b) ________
Explanation
(a) Let
Then satisfies the conditions of LMVT in consequently there exists some satisfying such that
… (125 more words) …
Question number: 97
» Convergence of Positive Series Test
Appeared in Year: 2007
Question
Which of the following series are convergent?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Both b. and c. are correct 

Question number: 98
Appeared in Year: 2007
Describe in Detail
Find the interval of convergence of the series
Explanation
The given series is
Put
So the given series is
… (139 more words) …
Question number: 99
Appeared in Year: 2011
Describe in Detail
Evaluate
Explanation
Let …………. eq. (1)
………. eq. (2)
Subtracting eq. (2) from (1)
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Question number: 100
Appeared in Year: 2012
Statements

If …………. eq. (1)
Where, then the polynomial has a root in the interval.

If is continuous and differentiable in , where and if
Then there exists such that

The polynomial has only one real root.
Choices
Choice (4)  Response  

a.  None of the statements is correct. 

b.  Both statement Ⅰ & statement Ⅱ are true. 

c.  All the statements are correct. 

d.  Only statement Ⅱ is true. 
