For the given function f determine if the function is discon

For the given function, f, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is continuous at x = a. f(x) = {x, x notequalto 3 2x, x = 3, alpha = 3 lim_x rightarrow 3 f(x) does not exist. f(3) does not exist. lim_x rightarrow 3 f(x) notequalto f(3) The function is continuous at x = 3.

Solution

option c is correct because when we go for 3- and 3+ that is a value so close to 3 then we get different answers

hence this condition of continuity fails here