Since the left hand limit is not equal to the right hand limit and both have constant values.
so the given function remains discontinuous at
![\[x\text{ }=\text{ }0.\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-1e65288ee1e9fb8316e74e8edb6883ed_l3.png "Rendered by QuickLaTeX.com")
Prove that the function f defined by following equation remains discontinuous at x = 0, regardless the choice of k
Prove that the function f defined by following equation remains discontinuous at x = 0, regardless the choice of k