Which of the following function is periodic in R ?
f ( x ) = log x
f ( x )= ex
f (x ) = x - [x ] where [ x ] denotes the greatst integer ≤ x
f ( x ) = [ x ] + x
The function f : R →, defined by f ( x ) = [x ] , is _______.
One - one
Onto
Both a and b
Neither a nor b
Sin -1 ( cos x ); 0 ≤ x < 1, is equal to
x - π
x - π/2
π/2 -x
π - x
The range of the function is.
( -∞, - 1/4 )
R - { - 1/4, - 1/ 20 }
[ - 1/20, ∞ )
None of these
The function f ( x ) = cosx - sin x / cos2x is not defined at x = π/4. The value of f ( π/4 ) so that f ( x ) is continuous everywhere is ______.
1
-1
√2
1/√2
lim f ( x ) x → a+ = l = ltx → a - g( x ) and Ltx → a - f ( x ) = m = Lt x → a + g ( x ), then the function f ( x ). g ( x )
Is continuous at x = a
Is not continuous at x = a
Has a limit when x → a and it is equal to lm
Has a limit when x → a + bvut it is nto equal to lm
-π
π
π/2
equals
2 √x
√ x
1/ √ x
1 / 2√x
Let f: x → y be a function. Then if R ( f ) y,f is said to be ______.
Into function
Onto function
One - one function
_________.
2
∞
0
