Let y = f (x) be defined parametrically as y = t2 + t |t|, x = 2t – |t|, t Ïµ R Then at x = 0, find f (x) and discuss continuity.
for what value of k, f (x) is continuous at x = 0?
Find the points of discontinuity of
Determine the form of g(x) = f ( f (x)) and hence find the point of discontinuity if g, if any.
The left hand derivative of f (x) = [x] sin (πx) at x = k, k is an integer, is:
Which of the following functions is differentiable at x = 0?