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, that Hence 1 and –1 are also points of discontinuity. Thus there are three points of discontinuity of f (x).
where [x] denotes the greatest integer less than or equal to x, then equals
is equal to
The value of f(0) so that the function
is continuous at each point in its domain, is equal to
The values of A and B so that f(x) is continuous everywhere are
The value which should be assigned to f at x = a so that it is continuous everywhere is