cancel
Showing results for 
Search instead for 
Did you mean: 
cancel
Showing results for 
Search instead for 
Did you mean: 

Community Tip - You can subscribe to a forum, label or individual post and receive email notifications when someone posts a new topic or reply. Learn more! X

Limit evaluation

Muzialis-disabl
1-Newbie

Limit evaluation

Hi All,

doing some work requiring a few limits evaluation I encountered a difficulty, which I expose in the attached sheet for a classical result.

I would be curious to listen your comments on this one

All the best

Muzialis
4 REPLIES 4

It's just round-off error. Numerically, 1+1/10^20 is equal to 1, because you only have about 15 digits of precision. 1*1/10^15 is right on the edge, so the answer is subject to a large error. 1+1/10^10 is well within the range of the numeric processor, so you get the correct answer.

Richard

Richard,

thank for the clarification

Have a good day

Muzialis

>Somebody trying to evaluate the limit numerically could attempt <<br> __________________________

Yes, but really the wrong route for e. Look at the very top how series are evaluated to plug as a function as soon as q(x) is introduced.

e is evaluated as the integral of 1/x = 1
Another route is the continued fraction, there are several versions not introduced in the attached.

jmG

On 6/22/2009 10:05:54 AM, Muzialis wrote:
>Hi All,
>
>doing some work requiring a
>few limits evaluation I
>encountered a difficulty,
>which I expose in the attached
>sheet for a classical result.
>
>I would be curious to listen
>your comments on this one
>
>All the best
>
>Muzialis
____________________________

This is the "series evaluation" of e
not what you have attempted.



jmG





Top Tags