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

lirn f{x) LIT>3 l. a) What conditions must be met in order for to exist? [1] b) Given f(x) = ix8 , does \"In gx] exist? Using your answer to a), x > justify your response. [2] 2. Use the denition of continuity to answer the following question: Is the function ftx) = xxx8 continuous at x = 8 ? Explain. [2]