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The phrase "achieve the limits" is correct and usable in written English.
It can be used when discussing reaching or attaining certain boundaries or maximum capacities in various contexts, such as personal goals, performance, or capabilities.
Example: "In order to succeed in this competition, we must push ourselves to achieve the limits of our endurance."
Alternatives: "reach the boundaries" or "attain the maximum".
Exact(3)
"Sport is about what you can do, what you can achieve, the limits you can reach, the barriers you can break.
Its passage has evoked such powerful Eurosceptic currents that by default it has established the opposite of what it set out to achieve – the limits of European integration and expansion.
It provides a substantial reduction of both total and local thermal loads to the cold structures to achieve the limits required for normal operation of the superconducting magnet system and maximum heat load of the cryogenic plant.
Similar(56)
Only a minor fraction of the E/MAA groups must be neutralized to create ion-rich aggregates, and thus to achieve the limiting yield stress behavior.
The system is able to achieve the limit of detection (LOD) at 1 pg/ml (57 fM) and a linear relationship between increasing TNF-α concentrations and charge-transfer resistance in a dynamic range of 1 1000 pg/ml.
The acid value of the reaction mixture declines sharply with increase in catalyst loading and the time required to achieve the limiting acid value of biodiesel (i.e., 0.5 mg KOH/g oil) was maximum for 2.0 % catalyst loading (lowest catalyst loading), which was found to be 270 min (Fig. 3a).
No technology reaches its full potential, by definition, until it achieves the limit for harm as well as good.
The proposed code with density 0.5 guarantees the requirement of perfect scrambling, and achieves the limit of security performance when n goes to infinity.
With the increase of the radiation, when the thermal energy flux achieves the limit tolerable by the receiver, a part of heliostats is defocused.
With the GONS@SurMB, we have achieved the limit of detection for tDNA at 37 °C: LOD = 24 nM (S/N = 3).
During the compensation, the algorithm can stop the HOM modifications for a certain adjacency due to different situations: the current HOM value has achieved the limit value or the SINR 50 of the faulty cell achieves a high value.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com