Let f ( x ) = x-1/ x + 1, then f ( f ( x ) is _______
1/ x
- 1/x
1 / x + 1
1 / x -1
A function y = f ( x ) is said to be odd if _______.
f ( - x ) = - f (x )
f ( -x ) = f ( x )
f ( x ) = - f (x )
f ( x ) = f (x )
0
-1
1
∞
If f (x ) = x/x + 1, x 1, then f -1 ( x ) is.
x-1/x
x / x -1
1 - x /x
x / 1 -x
Ltx → 0 f ( x ) / g ( x ) exists, then
Both lim x → a f (x ) and lim x → a g ( fx ) must exist
lim f ( x ) need not exist but lim g (x ) exists x → a x → a
Nither lim f ( x ) nor lim g ( x ) does not exist. x → a x → a
lim f (x ) exists but lim g ( x ) does not exist. x → a x → a
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 ______.
√2
1/√2
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
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
2
3
8
Ltx → 2+ [x] is equal to ________.
