Analysis: Limits, strictly increasing, differentiability

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Homework Help Overview

The discussion revolves around the analysis of limits, differentiability, and the properties of strictly increasing functions. Participants are reviewing specific problems and exploring the implications of their findings.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants express confidence in their solutions while acknowledging the potential for oversight. Questions are raised regarding the positivity of a function and the behavior of limits, including the possibility of negative infinity. There is also discussion about the nature of function values as they approach infinity.

Discussion Status

The conversation is ongoing, with some participants providing feedback on each other's interpretations and suggesting that more detailed steps may be required. There is recognition of different perspectives on the problems being discussed.

Contextual Notes

Participants mention the possibility of needing to adhere to specific instructions from a professor regarding the presentation of their work. There is also a reference to potential subtleties in the problems that may require careful consideration.

Shackleford
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I've worked all of these out. I'm mostly confident I did them correctly, but I'm prone to overlook subtleties or counterexamples sometimes.

http://i111.photobucket.com/albums/n149/camarolt4z28/1ab-1.png

http://i111.photobucket.com/albums/n149/camarolt4z28/1gf2-1.png
 
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1. b is false.

Is f(x) positive ?

I'll look at the other problem soon.
 
SammyS said:
1. b is false.

Is f(x) positive ?

I'll look at the other problem soon.

Oh. You're saying the limit could be negative infinity, too, not just positive infinity. That's true.
 
Or, f(x) could alternate from large positive to large negative values as x → ∞.
 
The second link looked OK to me.
 
SammyS said:
The second link looked OK to me.

Good catch on (b). Thanks for the review!
 
Its possible your professor wants you to write out your steps a bit more.
 
deluks917 said:
Its possible your professor wants you to write out your steps a bit more.

For which ones?
 

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