Use the ε-δ definition of limits to prove that lim x3 −2x2 −2x−3 = −6. 3...

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Use the ε-δ definition of limits to prove that lim x3 −2x2 −2x−3= −6. 3 markx→1

Hint: This question needs students have a thorough understandingof the proof by the ε-δdefinition as well as some good knowledge ofwhat is learnt in Math187/188 and in high school, such as longdivision, factorization, inequality and algebraicmanipulations.

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