Evaluate the following limit. 2 ln ( ₁ + 2/1) ² x X lim X→∞ lim X→∞ 1+ 2 X 2 ln x = (Type an exact answer.)
Evaluate the following limit. 2 ln ( ₁ + 2/1) ² x X lim X→∞ lim X→∞ 1+ 2 X 2 ln x = (Type an exact answer.)
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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Question
![Evaluate the following limit.
\[
\lim_{{x \to \infty}} \left(1 + \frac{2}{x}\right)^{2 \ln x}
\]
---
\[
\lim_{{x \to \infty}} \left(1 + \frac{2}{x}\right)^{2 \ln x} = \boxed{\phantom{0}} \quad \text{(Type an exact answer.)}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a6c3af6-91f1-478b-99db-a0b0fd9518f2%2Fbe084cf9-f6bf-4d07-a8f4-a5e173a635bc%2Fvgfz05o_processed.png&w=3840&q=75)
Transcribed Image Text:Evaluate the following limit.
\[
\lim_{{x \to \infty}} \left(1 + \frac{2}{x}\right)^{2 \ln x}
\]
---
\[
\lim_{{x \to \infty}} \left(1 + \frac{2}{x}\right)^{2 \ln x} = \boxed{\phantom{0}} \quad \text{(Type an exact answer.)}
\]
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