# Limits & Continuity-Continuity [NEST (National Entrance Screening Test) Mathematics]: Questions 1 - 9 of 11

Access detailed explanations (illustrated with images and videos) to 50 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Unlimited Access for Unlimited Time!

View Sample Explanation or View Features.

Rs. 100.00 or

How to register?

## Question number: 1

» Limits & Continuity » Continuity

Edit
MCQ▾

### Question

is equal to , where are resoectively.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 2

» Limits & Continuity » Continuity

Edit
MCQ▾

### Question

Let and where are non–negative real numbers. The value of , if is continuous for all real is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 3

» Limits & Continuity » Continuity

Edit
MCQ▾

Suppose and is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 4

» Limits & Continuity » Continuity

Edit
MCQ▾

### Question

Let . if be continuous for all then is equal to

### Choices

Choice (4)Response

a.

7

b.

c.

d.

None of the above

## Question number: 5

» Limits & Continuity » Continuity

Edit
MCQ▾

### Question

is equal to , where

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 6

» Limits & Continuity » Continuity

Edit
MCQ▾

### Question

If the positive integer n is equal to

### Choices

Choice (4)Response

a.

2

b.

4

c.

5

d.

6

## Question number: 7

» Limits & Continuity » Continuity

Edit
MCQ▾

### Question

If the function be continuous at

### Choices

Choice (4)Response

a.

6

b.

3

c.

12

d.

All of the above

## Question number: 8

» Limits & Continuity » Continuity

Edit

Appeared in Year: 2017

MCQ▾

### Question

Let the function be defined as

Where for any real number denotes the greatest integer not exceeding t, then f is continuous at

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 9

» Limits & Continuity » Continuity

Edit
MCQ▾

### Question

Let be any function. Define by for all . Then is

### Choices

Choice (4)Response

a.

Onto is f is onto

b.

One-one is f is one-one

c.

Continuous is f is continuous

d.

Differentiable is f is differentiable

Developed by: