1
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00

1
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00

does not exist
0
1
-1
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
If f(x)=[x], where denotes greatest integral function, select the correct statement about the continuity.
f(x) is continuous at integer points.
f(x) is right continuous but not left continuous at integer points.
f(x) is left continuous but not right continuous at integer points.
f(x) is neither left continuous nor right continuous at integer points.
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
Let f(x)=x|x|, xR

then f(x) at x=0 is _____

Continuous and differentiable
Continuous, not differentiable
Differentiable but not continuous
Neither differentiable nor continuous
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
The number of ‘c’ values that satisfy the mean value theorem for f(x)=x^3+2x^2+x on the interval [-2,2].
0
1
2
3
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
2
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
8
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00

1
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
I-P, II-Q, III-R
I-P, II-R, III-Q
I-Q, II-R, III-P
I-Q, II-P, III-R
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
1/2
2
1
0
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33

then choose the incorrect statement

f(x) is not continuous at x=1
f(x) is continuous at x=2
f(x) is not continuous at x=0
All the above are correct
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
0
1
x
- cos x
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
a/b
0
2
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33