'extend the limit of' is correct and usable in written English.
You can use it to describe expanding on an existing limit, such as "We must extend the limit of the budget to fund the new project."
Two new ARG's that appeared last month promise to extend the limits of the genre.
The zones are uneven because these kinds of local shelter conditions may extend the limits of each zone.
Developers have continued to extend the limits of downtown, moving inland with their projects, surrounding new light rail and PATH train stops with shiny new commuter havens.
Small latex balloons were routinely carrying light loads to much greater heights, and Piccard postulated that with a cluster of these he could extend the limits of ballooning.
But in a performance so brave that it seemed to extend the limits of humanity, the former heavyweight champion of the world not only silenced his doubters in defeating Ivan Drago, he also turned a hostile home crowd in his favour, so much so that come the end of almost 15 rounds of brutal boxing, cries of "Rocky, Rocky" were resonating around the auditorium.
In the '70s and '80s, visionary climbers like Reinhold Messner, the first man to climb Everest solo and without supplementary oxygen, would both extend the limits of Alpine-style climbing in the Himalayas (traveling up the mountain quickly, in a small group with minimal gear) and establish the prototype of the professional climber-celebrity.
Such exercises extend the limits of our thinking beyond the standard.
Novel device architectures and materials are required to extend the limits of ULSI microelectronics.
These encouraging findings will lead to the development of a sealing technique for the thermally sprayed coatings in order to enhance the corrosion resistance of the coatings and extend the limits of the coatings to more severe applications.
"Rather than add a lower drop ceiling, we were hoping to extend the limits of the room upward— trompe l'oeil came immediately to mind," notes FreelandBuck.
