Failed to connect to MySQL: Access denied for user 'examnext_online'@'localhost' (using password: YES) The number of points of discontinuity for the function ƒ(x) = (log|x|)sgn`(x^2–1)`, x `!=` 0, is/are - Sarthaks eConnect

The number of points of discontinuity for the function ƒ(x) = (log|x|)sgn`(x^2–1)`, x `!=` 0, is/are :

none of these

Solution

0 votes

Best answer

Sgn`(x^2 – 1)` is discontinuous when`x^2` – = 0

or x = ± 1

But log |x| = 0 when x = ± 1 Hence, ƒ(x) = is continuous at x = ±1

Thus, ƒ(x) is always continuous