NBHM (National Board for Higher Mathematics) MSc and MA Mathematics: Questions 20 - 26 of 101

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Question number: 20

» Tests of Convergence

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Appeared in Year: 2008

Essay Question▾

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

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Appeared in Year: 2005

Essay Question▾

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

» Analyticity in C

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Appeared in Year: 2007

MCQ▾

Question

Let . Which of the following function are analytic in the entire complex plane?

Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Question number: 23

» Summation of Series

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Appeared in Year: 2015

Essay Question▾

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

» Determinant

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Appeared in Year: 2014

Essay Question▾

Describe in Detail

Let . Evaluate

Explanation

applying

Applying

Taking common from

… (94 more words) …

Question number: 25

» Indeterminate Forms

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Appeared in Year: 2007

Short Answer Question▾

Write in Short

Evaluate:

Question number: 26

» Continuity

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Appeared in Year: 2013

Short Answer Question▾

Write in Short

Find the points where the function is continous