Which of the following functions are continuous at `x=0?`[Note: `sgn x` denotes signum function of `x`.]

Which of the following functions is continuous at x = 0 ?

Which of the following function is continuous at x = 0 ?

Which of the following function is not continuous at x = 0?

Q.7Lett_[x²-4, if|x|5315 sgn|x-3), if|x /gt 3and g(x)=2 tan-(e)-for all x € R, then which of the following is(are) correct?Note: sgn(k) denotes the signum function ofk.](A) fog(x) is an even function.(B) gof(x) is an even function.(C) gog (x) is an odd function(D) fof(x) is an odd function.

Which of the following function is periodic? sgn(e^(-x))x>0

Which of the following functions are periodic? f(x)={|sgn(x)|,x!=01,x=0

Which one of the following function contains only one integer in its range ? [ Note sgn (k) denotes the signum function of k.]

Which one of the following function contains only one integer in its range ? [ Note sgn (k) denotes the signum function of k.]

Which one of the following function contains only one integer in its range ? [ Note sgn (k) denotes the signum function of k.]