Limits question ((x+1)/(x-1)-3)/(x-2)

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The discussion centers around solving the limit of the function F(x) = (x+1)/(x-1) - 3 divided by (x-2). Participants analyze the algebraic steps involved in simplifying the expression, pointing out errors in the original calculations. There is a debate about the effectiveness of tutoring, with some expressing skepticism about its benefits compared to peer assistance. The conversation highlights the motivation behind helping others in mathematics, emphasizing passion over financial gain. Overall, the thread combines mathematical problem-solving with a light-hearted discussion on the value of tutoring.
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Homework Statement


F(x) = [x+1 / x-1] coordinates (2,3)


Homework Equations


First principle Mtang=(F(x)-F(a))/x-a
second principle
finding the derivatives at first glance

The Attempt at a Solution


Mtang=(F(x)-F(a))/x-a
[x+1/x-1]-(3)/(x-2)
Multiply by (x-1/x-1) to get
x+1 - 3(x-1)
----------- <- over (fraction)
(x-2)(x-1)
<<
x+1-3
---------- <- Over (fraction)
(x-2)
<<
x-2
-----
x-2

equals ONE!
 
Last edited:
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Are you familiar with l'Hôpital's rule?
 
Last edited:
No I am not
 
Check your algebra going from the first 'over (fraction)' to the second one. You somehow made x-1 'disappear' through use of bad algebra. Simplify the numerator in the first expression.
 
Thats okay i know what to do know, 3x divided by x is 2x
 
venger said:
Thats okay i know what to do know, 3x divided by x is 2x

3x MINUS x is 2x. 3x divided by x is 3. Are you sure you know what to do?
 
well forget about it i got a tutor now
 
Good luck!
 
Meh, IMO, a tutor can only have a negative impact.
 
  • #10
How do we have a better impact than a tutor :S
 
  • #11
We don't but it doesn't exclude the fact that a tutor doesn't, IMO.
 
  • #12
Gib Z said:
How do we have a better impact than a tutor :S

Because we're doing it because we love mathematics and enjoy helping others. The tutor is doing it to make money, or because it's a required work-study job. :-p
 
  • #13
Lol Thats a good point, the only reason we would even be helping is because we want to, and because of that we put in our best effort. But id rather be half-assed AND get paid! :P
 

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