Question 1 (20 marks) Let f (x) be the following piece-wise defined function over its domain (0; ) : In x 0 < x1 X f(x)= x-1 x>1 In x a) Determine lim lim ln xxlim- x->0+ X x0+ x) x (lim 1). (3 marks) =-8X = -0 b) Is the function f continuous at x=1 ? Justify your answer. Provide all details. In x D.S. In 1 lim =0 and