Limits, Continuity, Differential Calculus (BITSAT Mathematics): Questions 1 - 7 of 7

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Question number: 1

» Limits, Continuity, Differential Calculus » Applications of Derivatives

MCQ▾

Question

Find a for which f(x)=asinx+13sin3x has extreme at x=π3 is –

Choices

Choice (4) Response
a.

1

b.

0

c.

2

d.

1

Question number: 2

» Limits, Continuity, Differential Calculus » Limits

MCQ▾

Question

limx0ex(1+x)x2=________

Choices

Choice (4) Response
a.

0

b.

e

c.

2

d.

12

Question number: 3

» Limits, Continuity, Differential Calculus » Maxima and Minima of Functions

MCQ▾

Question

f(x)=alogx+bx2+x has its extreme value of x=1,x=2 . Then –

Choices

Choice (4) Response
a.

a=2,b=12

b.

a=2,b=1

c.

a=2,b=12

d. All of the above

Question number: 4

» Limits, Continuity, Differential Calculus » 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: 5

» Limits, Continuity, Differential Calculus » 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: 6

» Limits, Continuity, Differential Calculus » 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: 7

» Limits, Continuity, Differential Calculus » 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

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