The phrase 'continuously challenge' is correct and usable in written English.
You can use it to refer to an ongoing effort to face and overcome a difficult situation or to keep testing one's own abilities. For example, "She is determined to continuously challenge herself to stay on top of her game."
As a student I work in a dynamic context with peers who continuously challenge my ideas.
Computer games that adaptively adjust difficulty are used to continuously challenge players according to their abilities.
Since intestinal epithelial cells directly contact pathogenic environmental factors that continuously challenge their integrity, ISCs must also actively divide to facilitate regeneration and repair.
"The key is to make sure you can continuously challenge yourself.
The Silicon Valley should be a giant incubator for new companies, a place where start-ups continuously challenge and disrupt incumbents.
In the coming months, MSF will have to continuously challenge the authorities to make sure that the IDPs will have proper health access in resettled area.
On the other hand, if the problems are increasingly challenging or simply unrelated to each other then the students would be continuously challenged throughout the whole session; in such a scenario the number of hints a student receives should not drop throughout a session.
He is quoted as saying: "Ruqia continuously challenged IS and often reported on air strikes on Raqqa as they happened.
We are continuously challenged to discover new works of culture – and in the process don't allow any one of them to assume a weight in our minds.
A disabled black artist who continuously challenges assumptions and stereotypes — "That's the point of my work really," he said — Mr. Shonibare makes art that is sumptuously aesthetic and often wickedly funny.
Deoxyribonucleic acid (DNA) repair is a fundamental process designed to keep the integrity of genomic DNA that is continuously challenged by intrinsic or environmental induced alterations.
