If ` f (x) = x (sqrtx+sqrt((x+1))`, thenA. f (x) is continuous but not differentiable at x = 0B. f(x) is differentiable at x = 0C. f(x) is not differentiable at x = 0D. None of the above

If ` f (x) = x (sqrtx+sqrt((x+1))`, thenA. f (x) is continuous but not

1.	If ` f (x) = x (sqrtx+sqrt((x+1))`, thenA. f (x) is continuous but not differentiable at x = 0B. f(x) is differentiable at x = 0C. f(x) is not differentiable at x = 0D. None of the above
Answer» Correct Answer - C Given,` f(x) = x (sqrtx+sqrt(x+1)` `rArr f(x) ` would exists when ` x ge 0`. `:.` f(x) is not continous at x = 0 , because LHL does not exist. ltbr. Hence, option (c ) is correct.