NBHM (National Board for Higher Mathematics) MSc and MA Mathematics: Questions 57 - 64 of 101

Access detailed explanations (illustrated with images and videos) to 101 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Subscription can be renewed yearly absolutely FREE! View Sample Explanation or View Features.

Rs. 300.00 or

How to register?

Question number: 57

» Definite Integral

Edit

Appeared in Year: 2007

Essay Question▾

Describe in Detail

Evaluate

Explanation

Let ……. eq. (1)

… (160 more words) …

Question number: 58

» Differentiability in Complex Plane

Edit

Appeared in Year: 2008

Essay Question▾

Describe in Detail

Which of the following maps are differentiable everywhere?

a)

b) Such that for all

c) Where

Explanation

Option (a)

Clearly f is continuous for all

Clearly f is differentiable for all except we can’t say

… (160 more words) …

Question number: 59

» Tests of Convergence

Edit

Appeared in Year: 2010

Essay Question▾

Describe in Detail

In each of the following verify whether the series is absolutely convergent conditionally or divergent:

a)

b)

c)

Explanation

Option (a) The given series is

Where

Now

………….

… (184 more words) …

Question number: 60

» Exponential Series

Edit

Appeared in Year: 2005

Essay Question▾

Describe in Detail

Find the sum of the series

Explanation

… (98 more words) …

Question number: 61

» Convergence of Positive Series Test

Edit

Appeared in Year: 2009

Essay Question▾

Describe in Detail

Test the following series for convergence.

a)

b)

Where is a convergent series of positive terms.

Explanation

Option (a) The given series is

Here

… (148 more words) …

Question number: 62

» Indeterminate Forms

Edit

Appeared in Year: 2013

Short Answer Question▾

Write in Short

Evaluate

Question number: 63

» Logarithmic Series

Edit

Appeared in Year: 2014

Essay Question▾

Describe in Detail

Find the sum of the following infinite series

Explanation

………. eq. (A) [ Rearranging the terms]

Now we know that

… (130 more words) …

Question number: 64

» Limits & Integration

Edit

Appeared in Year: 2012

MCQ▾

Question

Determine if the following claim is true or false:

Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague