We usually rely on binoculars for viewing distant objects, so it seems a little contradictory to be concerned about the close focus of binoculars.
Close focus is simply how close you can get to the object you’re viewing before it goes out-of-focus. Larger binoculars have close focus on the order of 15-20 feet or more. This means that any object viewed with these binoculars must be 20 feet or so away from you in order to view the object with the binoculars and have it in focus. Any object closer than the close focus distance will be out-of-focus and appear quite blurry.
Smaller binoculars will have smaller close focus distances on the order of 15 feet or less.
If you want to be able to use your binoculars for viewing butterflies or other cool insects, you’ll want a pair of binoculars that have a small close focus. For example, if you see a butterfly that is about 10 feet away, the Canon Waterproof 8×32 binoculars – 
with a close focus of 19 feet – will make you take a few steps back to view the butterfly in focus.
A better choice, although not as powerful, might be this one – 
Eagle Optics Ranger SRT 8×32 Binoculars – with a close focus of just 3 feet!
A less expensive model, the Lite-Tech Compact 8×25 Binoculars made by Brunton, has similar power and size, but the close focus is a whopping 28 feet. 
Not exactly what we’re looking for to view that butterfly. These binoculars are inexpensive, less than $50, but by paying less there’s gonna be trade-offs.
If you’ll often find yourself viewing such small objects up close, then the close focus is a feature that you should consider when selecting your binoculars. Be aware that the close focus of compact binoculars ranges from 3 feet to 28 feet.

[...] from fixed-focus or focus-free binoculars as they are somewhat limiting and typically have a large close focus. Focus-free binoculars will have their focus set to the middle ground. Not [...]
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