# If |x| denotes the greatest integer not greater than 2,thenis

1.  0

2.  1

3.  2

4.  Does not exist

4

Does not exist

Explanation :
No Explanation available for this question

# is

1.  0

2.  1

3.  1/2

4.  ∞

4

1/2

Explanation :
No Explanation available for this question

# If two functionsare given,then at x=0

1.  Both f and g continuous

2.  F is continuous and g is discontinuous

3.  F is discontinuous and g is continuous

4.   Both f and g are discontinuous

4

Both f and g continuous

Explanation :
No Explanation available for this question

# If f(x)=|x|,then f(x) is

1.  Discontinuous at x=0

2.  Continuous only at x=0

3.  Continuous at all values of x

4.  Discontinuous at x=1

4

Continuous at all values of x

Explanation :
No Explanation available for this question

# The function is continuous at x=2,if

1.  a=0,b=1/2

2.  a=1/2,b=0

3.  a=-1/2,b=0

4.  a=0,b=-1/2

4

a=1/2,b=0

Explanation :
No Explanation available for this question

# If f(x)=x-[x],then f(x) is discontinuous

1.

2.

3.

4.  At very real numbers except integers

4

At very real numbers except integers

Explanation :
No Explanation available for this question

# The interval in which Lagrange’s theorem is applicable for the function f(x)=1/x is

1.  [-3,3]

2.  [-2,2]

3.  [2,3]

4.  [-1,1]

4

[2,3]

Explanation :
No Explanation available for this question

# If f(x)=3x4-4x2+5,then the interval for which f(x) satisfied all the conditions of Rolle’s theorem is

1.  [0,2]

2.  [-1,1]

3.  [-1,0]

4.  [1,2]

4

[-1,0]

Explanation :
No Explanation available for this question

# If f(x)=|x|,then In the interval [-1,1],f(x) is

1.  Satisfied all the conditions of Rolle’s theorem

2.  Satisfied all the conditions of Mean Value theorem

3.  Does not Satisfied the conditions of Mean Value theorem

4.  None of these

4

Does not Satisfied the conditions of Mean Value theorem

Explanation :
No Explanation available for this question

1.  3/4

2.  1/2

3.  3/2

4.  1/4

4