Question: prove D3 Example 2.1.3. The sequence (V/9+ : converges to 3. n-1 Proof. We are going to show that (VE > 0) (3N E J)

prove D3

Example 2.1.3. The sequence (V/9+ : converges to 3. n-1 Proof. We are going to show that (VE > 0) (3N E J) (Vn > N) (1 1/9 + = - 3) 0 is arbitrary but fixed. Take a natural number No E J such that 1 No was arbitrary) we have justified that (Vn 2 No) (1 1/9 + = - 3) N) (1//9+ 2 - 3) 0 was arbitrary, we may now conclude that (VE > 0) (3N E J) (Vn > N) (|V/9 + 2 - 3)

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