- #1
catapax
- 6
- 0
how can i solve lim (1+2^1/x)/(3+2^1/x) without using de l'hopital?
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Homework Help Overview
The discussion revolves around evaluating the limit of the expression (1+2^(1/x))/(3+2^(1/x)) as x approaches 0, specifically without applying L'Hôpital's rule. Participants are exploring the behavior of the function as x approaches 0 from both the positive and negative sides.
Discussion Character
- Exploratory, Assumption checking
Approaches and Questions Raised
- Participants are considering how to simplify the limit expression and questioning the behavior of 2^(1/x) as x approaches 0 from both directions. There is a suggestion to split the analysis into cases based on the direction of approach.
Discussion Status
The discussion is ongoing with participants raising questions about the limit's behavior and suggesting methods to analyze it without L'Hôpital's rule. There is no explicit consensus yet, and the original poster's engagement has been noted as lacking.
Contextual Notes
There is a mention of the need to consider the limit as x approaches 0 from both the positive and negative sides, indicating potential differences in behavior based on the direction of approach.