Why doesn't my camera focus and beep?

I have a Nikon d3000 the battery is fully charged. I can take a picture of things up close and across the room. Yet when i try to zoom in on far away things… Things i usually can shoot. It won't focus or beeb which is saying it is focused

All of your answers are in the manual. Read it.

Normal cameras focus when you aim the camera and depress the shutter button half way down. The camera beeps to let the operator know that the camera is focused. At that point you have the option of continuing the downward pressure and TAKE the picture "or" move the camera to better compose the scene, when you have the scene the way you want it, THEN continue the pressure on the shutter button until the shutter fires!

The point of this exercise is to adjust the focus so the most important part of your planned picture is the way you want it to be. This a "creative" use of your camera!

Are you getting any errors… Specifically "Press shutter button again"?

If so, one issue with some D3000s is as they get older, say around 70,000 shutter actuations or more, the aperture signalling mechanism gets weaker and sometimes does not properly set the aperture - which also means the camera will not take a photo.

Usually the camera works in Auto mode, but this issue begins in manual mode - especially if the scene lighting is very bright or very low.

Often, moving the control to Auto - snapping a photo - then bringing the control back to PSAM will fix the problem (at least temporarily).

Try to see if your camera works in auto mode. If it does, this is probably your problem.

If you are set to AF-C (continuous auto focus), it should focus but not beep.

If you have your autofocus sensor placed on a part of the scene with hardly any lines or edges the autofocus may struggle to detect correct focus.

If you are in dim light it may struggle to focus. Indoors you have the autofocus assist lamp, but that becomes ineffective at greater distance.

I think your camera is broken.

You'll need to determine where the problem exists first.

Can you select manual focus on your body, then twist the focus ring on your lens to infinity and get it to focus on infinity? If not, then your lens is faulty. You'll have to send it in to get it repaired.

Also, can your lens focus on close range (and you see the lens move) but you can't focus infinity? Then your lens barrel could be jammed. Again, you'll have to send it to get it repaired. All lens that works with D3000 have an internal motor to focus the lens. It can jam or break.

I'm a bit confused as to why you are using the term "zoom" to describe a problem with focusing. Do you possibly have your camera on manual focus, then using the zoom to focus? Since the lens is not a par-focal lens, this is possible but that's not a right way to do it.

With information provided, this is the best I can do for you.
Good luck with your equipment.

By the way, Nikon support is very good at figuring out problems. I would suggest you'd call them.