Differential calculus Research Paper
QUESTION 1 Evaluate the following limits: a)b) c) QUESTION 2 a) Determine the points at which the following function is not continuous:b) Obtain the values of such that the following function is continuous everywhere:c) Determine whether the following function is continuous at :QUESTION 3 Let , where . a) Show that . b) Show that . c) Show that . QUESTION 4 a) Determine the derivative of the function and using the definition of the derivative. b) Hence, compute . Document Preview: QUESTION 1 Evaluate the following limits: a)b) c) QUESTION 2 a) Determine the points at which the following function is not continuous:b) Obtain the values of such that the following function is continuous everywhere:c) Determine whether the following function is continuous at :QUESTION 3 Let , where . a) Show that . b) Show that . c) Show that . QUESTION 4 a) Determine the derivative of the function and using the definition of the derivative. b) Hence, compute . Attachments: Past-year-que.docx
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