please solve this question in full steps and in good handwriting. thank you

1. a) What conditions must be met in order for lim f(x) to exist? [1] x -> a b) Given f(x) = Vx-8 , does lim f(x) exist? Using your answer to a), x->8 justify your response. [2] 2. Use the definition of continuity to answer the following question: Is the function f(x) = vx-8 continuous at x =8? Explain. [2] 3. Sketch the piecewise function to the right. x if x 0