# Limits & Continuity [NEST (National Entrance Screening Test) Mathematics]: Questions 1 - 9 of 25

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## Question number: 1

» Limits & Continuity » Graphs of Simple Functions

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MCQ▾

If

### Choices

Choice (4)Response

a.

is differentiable at

b.

is continuous at

c.

is differentiable at

d.

Question does not provide sufficient data or is vague

## Question number: 2

» Limits & Continuity » Continuity

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MCQ▾

### Question

is equal to , where are resoectively.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 3

» Limits & Continuity » Continuity

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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: 4

» Limits & Continuity » Continuity

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MCQ▾

Suppose and is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 5

» Limits & Continuity » Continuity

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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: 6

» Limits & Continuity » Algebra of Functions

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MCQ▾

If then

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question number: 7

» Limits & Continuity » Continuity

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MCQ▾

### Question

is equal to , where

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 8

» Limits & Continuity » Real Valued Functions

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MCQ▾

The value of

### Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 9

» Limits & Continuity » Real Valued Functions

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Appeared in Year: 2016

MCQ▾

### Question

Let a function be defined as follows.

Where are real numbers with then

### Choices

Choice (4)Response

a.

There is exactly one value of which makes a continuous function

b.

The continuity of depends on the values of both

c.

is continuity of is and only is

d.

is not differentiable at exactly one point in its domain.

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