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This mock test of Test: Continuity for JEE helps you for every JEE entrance exam.
This contains 10 Multiple Choice Questions for JEE Test: Continuity (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Continuity quiz give you a good mix of easy questions and tough questions. JEE
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QUESTION: 1

Which of the following functions are not continuous.

Solution:

From the graph it is clear that the function is discontinuous.

QUESTION: 2

If f (x) = [x sin p x] { where [x] denotes greatest integer function}, then f (x) is

Solution:

QUESTION: 3

Examine the continuity of the function

Solution:

QUESTION: 4

For what values of a and b, f is a continuous function.

Solution:

QUESTION: 5

Discuss the continuity of function f(x) = |x-1| + |x+1|, x R

Solution:

f(x) = |x-1| + |x+1| , x € R

For x ≥ 1,

f(x) = x-1 + x+1

f(x) = 2x

For -1 ≤ x ≤ 1,

f(x) = -x + 1 + x+1

f(x) = 2

For x ≤ -1,

f(x) = -x + 1 - x-1

f(x) = -2x

As the graph of f(x) shows, the function is continuous throughout its domain.

QUESTION: 6

Examine the continuity of function f(x) = (x-1)(x-2)

Solution:

Lim f (x) = lim (x-1)(x-2) =at x tend to k

so it get k^{2}-3k+2

now f (k) = k^{2 }-3k+2

so f (x) =f (k) so continous at everywhere

QUESTION: 7

What is the point of discontinuity for signum function?

Solution:

Sgn(x)=|x|/x

for x>0, sgn(x)=1

for x=0, sgn(x)=0

for x<0, sgn(x)="">

now see graphically or theoretically sgn(x) is discontinuous at x=0

QUESTION: 8

Function f(x) = log x + is continuous at

Solution:

QUESTION: 9

Solution:

QUESTION: 10

A real function f is said to be continuous if it is continuous at every point in …… .

Solution:

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