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

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Question number: 1

» 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: 2

» 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: 3

» Limits & Continuity » Continuity

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MCQ▾

Question

Suppose and is

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 4

» 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: 5

» Limits & Continuity » Continuity

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MCQ▾

Question

is equal to , where

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 6

» Limits & Continuity » Continuity

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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

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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

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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

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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

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