Concept explainers
In Example 7, if N is increased by a factor of 100, how must δ change?
Example 7 An Infinite Limit Proof
Let
Solution
Step 1:
Find δ > 0. Assuming N > 0, we use the inequality
The inequality
Step 2:
Write a proof. Suppose N > 0 is given. Let
We see that for any positive N, if
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Calculus, Single Variable: Early Transcendentals (3rd Edition)
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