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
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
-π
π
π/2
1
If the function f ( x ) = sin 3x / x ( x ≠ 0 ) = k/2 when x = 0 is continuous at x =0, then k = _________.
3
6
9
12
2
8
If the function = 2 for x = 2is continuous at x = 2, then
A = 1
A = -1
A = 2
A = 0
0
e
None of these
2 log e a
1/2 log e a
a loge 2
The domain of th function where [x ] denotes the greatest integer less than or equal to x, is ______
(0, ∞ )
(-∞, 0)
( -∞, ∞ )
Let f : A →B and A R and B R be defined by y = f (x ), where x A, Y B, then f is called ______.
Real function
Into function
One - One function
None
