How would I show that fl(x^k)= (x^k)(1 + δ)^(k−1), where |δ| ≤ ,ε if x is a floating-point machine number in a computer that has machine precision .
Edit: I was thinking I can use induction to prove this.
How would I show that fl(x^k)= (x^k)(1 + δ)^(k−1), where |δ| ≤ ,ε if x is a floating-point machine number in a computer that has machine precision .
Edit: I was thinking I can use induction to prove this.
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