NBHM (National Board for Higher Mathematics) MSc and MA Mathematics: Questions 65  71 of 101
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Question number: 65
Appeared in Year: 2009
Describe in Detail
Evaluate
Explanation
Let
… (111 more words) …
Question number: 66
» Sequences and Series (Convergence)
Appeared in Year: 2016
Describe in Detail
Let be an arbitrary positive real number define
Which of the following statements are true?
a) For all , we have
b) The sequence is monotonic
c) The sequence convergent
Explanation
…………eq. (1)
That point (By Induction)
… (160 more words) …
Question number: 67
» Continuity and Differentiability
Appeared in Year: 2006
Question
Let denote the set of all continuously differentiable real valued function defined on the real line. Define
where denotes the derivative of the function f. Pick out the true statements.
Choices
Choice (4)  Response  

a.  A is an Infinite set. 

b.  A is Empty set 

c.  A is a finite and nonempty set 

d.  All of the above 

Question number: 68
» Definite Integral as Limit of a Sum
Appeared in Year: 2007
Describe in Detail
Evaluate
Explanation
… (99 more words) …
Question number: 69
» Limits
Appeared in Year: 2005
Write in Short
Evaluate:
Question number: 70
» Cauchy 2nd Theorem on Limits
Appeared in Year: 2017
Describe in Detail
Evaluate
Explanation
Let us consider the sequence as follows
…………eq. (1)
… (181 more words) …
Question number: 71
» Leibniz Rule for Differentiation under Integral Sign
Appeared in Year: 2005
Write in Short
Differentiate