The phrase "almost infinite range of" is correct and usable in written English.
It can be used to describe a very large variety or selection of something, suggesting that while it may not be truly infinite, it is extensive.
Example: "The library offers an almost infinite range of books on various subjects, catering to every reader's interests."
Alternatives: "vast array of" or "extensive selection of".
The almost infinite range of political systems has been barely suggested in this brief review.
"Jeopardy!" requires a program with the suppleness to weigh an almost infinite range of relationships and to make subtle comparisons and interpretations.
He seems capable of an almost infinite range of voices and appearances, all of them outlandish, and all of them at least potentially funny.
The almost infinite range of products makes it harder to find the best deals, and the lack of assistance means that you might be missing some vital information – or simply buying the wrong product.
Perhaps if sex education was a little more explicit, and young men and women had some sense of the almost infinite range of ways in which a pubic area can be arranged, they would embrace variation downstairs.
Then again, for a campaign with deep pockets and a creative statistician, the bazaar of personal information presents an almost infinite range of possibilities -- lists of magazine subscribers, investors, fine-wine lovers, world travelers, pet owners, you name it.
Consider the digital analogy again: patterns of bits and bytes can form a virtually infinite range of images made from a limited range of pixels; patterns of atoms and molecules can likewise form a virtually infinite range of physical products made from a large yet limited range of materials.
Think on this: all of the lush fruits and vegetables that fill our markets and our plates, with an almost-infinite range of flavors and textures and varieties, all come from tiny, singular seeds.
Treated as an analog device, a single transistor has an infinite range of possible conductivities, so it could model an infinite range of chemical concentrations.
The infinite range of choices and possible self-expressions means that there are so many ways to go wrong.
