Use the definition of continuity and the properties of limits to show that the function is continuous on the given interval. f (x ) = x + V x- 2, [2, 00) For a ? v 2 , we have lim f( x) = lim (x+ vx-2) = lim x + lim = lim x + lim ) - lim 2 - 2 Therefore, f is continuous at x = a for every a in (2, co). Also, lim f(x) = = f(2), so f is continuous from the right at 2. Thus, fis continuous on [2, co). Submit Answer DETAILS SCALC8 1.8.023. 23. [-/1 Points] How would you "remove the discontinuity" of f? In other words, how would you define f(2) in order to make f continuous at 2? f ( x ) = X2 - x - 2 x - 2 f( 2 ) = x+1 Viewing Saved Work Revert to Last Response Submit