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Just Question 4 b, c, d, thank you 3 A bound on roundoff error [4 marks] To analyse the roundoff error from n floating point

Just Question 4 b, c, d, thank you

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3 A bound on roundoff error [4 marks] To analyse the roundoff error from n floating point multiplies, the following quantity arises: 1(1+8)=1+0n where || Su and u is unit roundoff i.e. On is the relative error after n floating point multiplies. Use mathematical induction to prove the bound nu len 1-nu assuming nu

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