Question
Question: Let f(x) = [ \| x \| ], ( [ . ] = G.IF) then the wrong statement of the following is...
Let f(x) = [ | x | ], ( [ . ] = G.IF) then the wrong statement of the following is
A
f(x)is continuous at x = 0
B
f(x) is right continuous and left discontinuous at x Ī z+
C
f(x) is left continuous and right discontinuous at x Ī z–
D
None
Answer
None
Explanation
Solution
f(x) = [ | x | ] ([ . ] = GIF)
from the graph, it is clear that
(1) f(x) is continuous at x = 0
(2) f(x) is right continuous and left discontinuous at x Ī z+
(3) f(x) is left continuous and right discontinuous at x Ī z–