I've had a vitamix for about 8 years now, and it's the best investment me and hubby made. We use it at least 3-4 times a week to make fruit smoothies, ice cream, salad dressings, cashew whipped cream, pie fillings, cole slaw in 3 seconds flat, sorbets, hummus, dips, etc.
It's the only machine that has a permanent place on the counter like the toaster.
Although it doesn't really make carrot juice, too gritty with all the pulp, if you puree it with other liquid, it makes a wonderful soup base. Also, you can make fresh nut butters, gind your own grains & beans into fresh flour, knead bread....It's well worth the cost, even new, but you can probably get it cheaper on ebay.
Nice thing about it is no wasted pulp, everything just gets pureed, which reminds me, it's great for making your own baby food! You might want a pulp-separating juicer for carrots, tho.
yeah, it can puree things like carrots & potatoes even when raw, & it can grind grains, beans & nuts. some blenders might manage some of this, but the blade would go dull real quick, plus you can make ice cream, this gets too thick for a regular blender & it doesn't blend fast enough to do more than a smoothie-type consistancy.