Limit

"Limit" is an easy to use free and open-source application to calculate mathematical limits with many features :

symbolical and numerical calculation with arbitrary number of digits;
5 simplification methods for non-numerical results;
option to show the calculation time;
option to show the not calculated limit before the result;
result with zoom levels and different colors;
7 output types : simple, bidimensional, typesetting, LaTeX, MathML, C and Fortran;
copy&paste available in all entry fields and also in the result, allowing copying the result to anywhere;
history and line completion editing in the expression.

"Limit" runs on Maemo 4 (Nokia N800/N810, etc), Maemo 5 (Nokia N900) or any smartphone/tablet/computer where Python, SymPy and PyQt are available. Future versions will use PySide and QML.

SymPy is a computer algebra system (CAS) written in pure Python, it is free and open source project, see http://sympy.org/. SymPy last version (0.7.1, July 2011) is available for Maemo 4 (Diablo) and Maemo 5 (Fremantle), see the SymPy thread in Talk Maemo.org.

Limit for Maemo 4 & 5

See also the "Limit" topic in Talk Maemo.org.

Limit of rational expression when x goes to plus infinity, on Nokia N900. It takes 8.8 s on Nokia N810. The calculation time on is shown in green, the non-calculated limit in blue and the result in black (with 8 zoom levels).	On Nokia N810, the definition of derivative of sin(x) using limit when delta goes to 0 is cos(x) as expected. On Nokia N900 it is faster : 3.0 s. Greek characters can be seen with the help of line completion editing of the expression, variable and point fields.
The above limit result is pi, calculated using numerical approximation with 500 digits, on Nokia N900. The Nokia N810 runs in 3.9 s.	Limit from the left which is minus infinity, on Nokia N810. The Nokia N900 runs in 0.02 s.
The menu of "Limit" on Nokia N900.	There are many settings for "Limit", here the default ones on Nokia N900. "Symplify terms" can take a long time for large results, when it is better to choose "None" or "Expand terms/all".

Limit v1.0.0 (23/10/2011) :

1st public release for Maemo 4 Diablo and Maemo 5 Fremantle on extras-devel/extras-testing/extras repository;
using SymPy 0.7.1 (07/2011);
time to load is approx. 15 seconds on Nokia N810 and 6 seconds on Nokia N900 @ 600 MHz.

To-do list for v1.1 onwards :

show the source-code files of "Limit" in Git or Nokia Developer Projects, etc;
make a QML (Qt Quick) version to run on MeeGo 1.2 Harmattan testing it on N9, creating a "Limit.deb" for Harmattan;
new modes (continuity test, smoothness test) besides limit calculations;
starting/splash screen with useful information while "Limit" is loading;
"Share" menu function to send the result using SMS, Email, Bluetooth, etc;
output with typesetting;
button to stop calculation;
translations in english and portuguese;
run on MeeGo smartphones/tablets/netbooks, creating install file "Limit.rpm".

on Nokia N800/810 (Maemo 4 Diablo) enable the "extras" repository, search for "Limit" in the application manager and install it. Or tap the install icon on Limit Maemo.org Download to install the "extras" repository and "Limit". "Limit" will also install Python, PyQt, SymPy and TTF-Dejavu fonts if they are not installed before.
on Nokia N900 (Maemo 5 Fremantle), search for "Limit" in the application manager and install it. Or tap the install icon on Limit Maemo.org Download to install it. "Limit" will also install Python, PyQt and SymPy if they are not installed before.
Download Limit v1.0.0 source code (Python file, 31.4KB) for any desktop computer with PyQt and SymPy installed . Save in some directory, open the "X Terminal" and run "python limit.py".