For any real number r, it can be shown that lim x--> ∞ x^r/e^x = 0. Using this fact what is lim x--> ∞ e^x + x^2023/e^2x + x^2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

For any real number r, it can be shown that lim x--> ∞ x^r/e^x = 0. Using this fact what is lim x--> ∞ e^x + x^2023/e^2x + x^2

.Using this fact, what is lim
x →∞
ex + x2023
-?
e²x + x²
Transcribed Image Text:.Using this fact, what is lim x →∞ ex + x2023 -? e²x + x²
x"
For any real number r, it can be shown that lim
x→∞ ex
= 0.
||
Transcribed Image Text:x" For any real number r, it can be shown that lim x→∞ ex = 0. ||
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