Question

Find the limit L. Then use the ε-δ definition to prove that the limit is L. lim x→1 (x^2 + 9) = L.

Name: find the limit l then use the definition to prove that the limit is l lim x1 x2 9 l 02805
Uploaded: 2021-09-27T12:53:31-08:00
Duration: 8 min 23 s
Channel: Yujie Wang
Description: find the limit l then use the definition to prove that the limit is l lim x1 x2 9 l 02805

          Find the limit L. Then use the ε-δ definition to prove that the limit is L. lim x→1 (x^2 + 9) = L.

Added by Gregg P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Yujie Wang

09/27/2021

Step 1

We can do this by plugging in x = 1 into the function: lim x→1 (x^2 + 9) = (1^2 + 9) = 10 So, L = 10. Now, we need to use the ε-δ definition to prove that the limit is L. The ε-δ definition states that for every ε > 0, there exists a δ > 0 such that if 0 < |x Show more…

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