Limit question first year calc

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Homework Help Overview

The discussion revolves around evaluating a limit in the context of first-year calculus, specifically as x approaches zero from the positive side. The limit involves logarithmic and square root functions.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the behavior of the natural logarithm as x approaches zero and its impact on the expression within the limit. There is a focus on approximating the terms involved for small values of x.

Discussion Status

Some participants indicate progress in understanding the limit, with one expressing confidence in their grasp of the problem. However, the discussion does not reach a definitive conclusion regarding the limit's value.

Contextual Notes

There is an implicit assumption about the behavior of logarithmic functions near zero, which is central to the limit evaluation. The original poster notes a lack of confidence in their mathematical background.

devonsn
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It's supposed to be an easy question, but I'm not a math major.

Evaluate lim x-->0+ (√(9 + 17lnx + 9ln^2x) - 3√(1 + lnx + ln^2x)) , if the limit exists
 
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What happens to the value of ln(x) as x goes to zero from above? Once you answer that, then think about 9+17ln(x). What is that approximately equal to for x very close to 0?
 
K thanks. I think I got it now.
 
You got zero right?
 

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