Limits & Continuity (BITSAT Mathematics): Questions 1 - 7 of 16

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Question number: 1

» Limits & Continuity » Limits

MCQ▾

Question

limx0ex(1+x)x2=________

Choices

Choice (4) Response

a.

0

b.

e

c.

2

d.

12

Question number: 2

» Limits & Continuity » Trigonometric Functions

MCQ▾

Question

limxπ422(sinx+cosx)31sin2x

is equal to –

Choices

Choice (4) Response

a.

322

b.

332

c.

322

d.

All of the above

Question number: 3

» Limits & Continuity » Algebra of Functions

MCQ▾

Question

If expression given below exists, then –

limh0f(x+h)f(xh)h=_

Choices

Choice (4) Response

a.

2f(x)

b.

f(x)

c.

12f(x)

d.

None of the above

Question number: 4

» Limits & Continuity » Exponential Functions

MCQ▾

Question

limx1+22(1x1) is equal to

Choices

Choice (4) Response

a.

1

b.

Does not exit

c.

0

d.

Question does not provide sufficient data or is vague

Question number: 5

» Limits & Continuity » Continuity

MCQ▾

Question

Let f(x)={ ’ then

Choices

Choice (4) Response

a.

f is only left continuous at x=12

b.

f is not continuous at x=12

c.

f is continuous at x=12

d.

f if only right continuous at x=12

Question number: 6

» Limits & Continuity » Limits

MCQ▾

Question

If f(9)=9 and f(9)=4 ; then

limx9f(x)3x3=_.

Choices

Choice (4) Response

a.

36

b.

4

c.

9

d.

None of the above

Question number: 7

» Limits & Continuity » Algebra of Functions

MCQ▾

Question

limx0x2+11x2+93

is equal to –

Choices

Choice (4) Response

a.

1

b.

2

c.

3

d.

4

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