Let (In) and (yn) be sequences of positive numbers such that lim(xn/Yn) = +∞, show that if (n) is bounded, then lim(yn) = 0.
Let (In) and (yn) be sequences of positive numbers such that lim(xn/Yn) = +∞, show that if (n) is bounded, then lim(yn) = 0.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Help with this proof please
![Let (In) and (yn) be sequences of positive numbers such that lim(xn/Yn) = +∞, show that
if (n) is bounded, then lim(yn) = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb20beb72-840b-470a-857a-f2b487ca02a4%2Fb7ae597d-0f22-42db-96c5-ac9f7d846051%2Flipcf9h_processed.png&w=3840&q=75)
Transcribed Image Text:Let (In) and (yn) be sequences of positive numbers such that lim(xn/Yn) = +∞, show that
if (n) is bounded, then lim(yn) = 0.
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