Prove the following limit using the 8,e definition of lim→pf(x) = q: lim, +5(25) : x²-25 x-5 = 10
Prove the following limit using the 8,e definition of lim→pf(x) = q: lim, +5(25) : x²-25 x-5 = 10
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Problem Statement:**
Prove the following limit using the \( \delta, \epsilon \) definition of \( \lim_{x \to p} f(x) = q \):
\[
\lim_{x \to 5} \left(\frac{x^2 - 25}{x - 5}\right) = 10
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbaa9c753-6b68-41b4-8837-61aa8aa0a19b%2Ff872f862-1aff-4232-9a19-20ea1fe6d5be%2Fkpnffog_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Prove the following limit using the \( \delta, \epsilon \) definition of \( \lim_{x \to p} f(x) = q \):
\[
\lim_{x \to 5} \left(\frac{x^2 - 25}{x - 5}\right) = 10
\]
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