"diligently taking" is correct and usable in written English.
It is often used to describe an action that is done with great care, effort, and perseverance. Example: Sarah spent the whole afternoon diligently taking notes on the lecture, determined to excel in her studies.
Since then, she has learned to manage the disease, diligently taking her medicine and keeping tabs on her blood sugar.
"Visibly flustered, Zhang temporarily lost the ability to speak Russian and began spluttering in Chinese to the silent aide diligently taking notes right behind him," the cable said.
After the Nadal victory, Murray's mother, Judy, sat in the front row of the V.I.P. restaurant above Centre Court here, diligently taking notes.
PayPal is diligently taking care of those problems and is expected to be profitable after it digests minimal remaining goodwill and stock-based compensation.
So after a workday of diligently taking all my doses of R20, I leave the office and head to a bar where my main concern will be drinking beer and checking out the guys.
The narrator mostly does this diligently, taking pleasure in brief chats she has with some customers, who warm up to her by talking about books -- The Haunting of Hill House, The Turn of the Screw.
Some discounts will be granted if more people diligently take the drugs as prescribed.
But the bearded young men diligently took notes and then were the first to raise their hands after Al Aswany, exhausted from his exertions, collapsed back in his chair and invited questions from the audience.
As attendees of the sister film and interactive conferences diligently took notes at marketing panel discussions and partied at a tricked-out old power plant, employees at the cluster of rock clubs that form the core of South by Southwest's official programming lugged in cases of beer and dotted their marquees with "SXSW," as this sprawling event is known.
Patients who don't diligently take enzyme supplements to help with their digestion after pancreatic surgery could fall into a state of malnutrition, Dr. Vella says.
But diligently, she took her boss's word for it.
