1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Circular Measurement of Angle
Following fun...
Question
Following function is continous at
x
=
2
and
x
=
1
.
f
(
x
)
=
x
(
x
−
2
)
x
−
1
A
True
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
False
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
B
False
Given
f
(
x
)
=
x
(
x
−
2
)
x
−
1
At
x
=
1
The function is not defined , The point on the graph vanishes at
x
=
1
So the function is not continous at
x
=
1
Suggest Corrections
0
Similar questions
Q.
The function
f
(
x
)
=
x
(
x
−
2
)
x
−
1
is continous at
x
=
1
Q.
State true or false
Following function is continous at the point
x
=
−
1
2
f
(
x
)
=
⎧
⎨
⎩
4
x
2
−
1
2
x
+
1
,
x
≠
−
1
2
−
2
,
x
=
−
1
2
⎫
⎬
⎭
Q.
Examine the continually of
f
(
x
)
=
|
x
|
+
|
x
−
1
|
in the interval (1, -2) Find the value of f(0) if the following function is continous at x=0
f
(
x
)
=
√
1
+
x
−
3
√
1
+
x
x
Q.
Following function is continous at the point
x
=
2
f
(
x
)
=
{
1
+
x
,
w
h
e
n
x
<
2
5
−
x
,
w
h
e
n
x
≥
2
Q.
Find whether the function is differentiable at x = 1 and x = 2
f
x
=
x
x
≤
1
2
-
x
-
2
+
3
x
-
x
2
1
≤
x
≤
2
x
>
2
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Angle and Its Measurement
MATHEMATICS
Watch in App
Explore more
Circular Measurement of Angle
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app