The number of points at which the function f (x) = 1/log |x| is discontinuous is
The function log |x| is not defined at x = 0, so x = 0 is a point of discontinuity. Also, for f (x) to be defined, log |x| ≠ 0, that is x ≠ ±1. Hence 1 and –1are also points of discontinuity. Thus there are three points of discontinuity of f (x).
If [x] denotes the greatest integer less than or equal to x then
Where [x] denotes the greatest integer less than or equal to x, then equals
The value of