NBHM (National Board for Higher Mathematics) MSc and MA Mathematics: Questions 65 - 71 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: 65

» Definite Integral

Edit

Appeared in Year: 2009

Essay Question▾

Describe in Detail

Evaluate

Explanation

Let

… (111 more words) …

Question number: 66

» Sequences and Series (Convergence)

Edit

Appeared in Year: 2016

Essay Question▾

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

Edit

Appeared in Year: 2006

MCQ▾

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 non-empty set

d.

All of the above

Question number: 68

» Definite Integral as Limit of a Sum

Edit

Appeared in Year: 2007

Essay Question▾

Describe in Detail

Evaluate

Explanation

… (99 more words) …

Question number: 69

» Limits

Edit

Appeared in Year: 2005

Short Answer Question▾

Write in Short

Evaluate:

Question number: 70

» Cauchy 2nd Theorem on Limits

Edit

Appeared in Year: 2017

Essay Question▾

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

Edit

Appeared in Year: 2005

Short Answer Question▾

Write in Short

Differentiate