I'm starting photography and am wondering if the Canon Rebel T3 is a good choice.
My only real constraints are that I want to able to take "burst shots" (such as of sports events) and low light shots.
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Entry-level DSLRs can do burst shots, but none of them is very strong in it.
With RAW, the Canon T3 can only shoot two frames per second and has to stop after five frames. JPEG is a little better, 3 fps up to 830 frames.
Nikon D3100 is faster with RAW (3 fps) and has larger/faster buffer (13 RAW, unlimited JPEG).
Pentax K-r has the fastest frame rate, 6 fps (25 JPEG / 12 RAW), but you might find its tracking AF inadequate and too slow for sports events.
To directly answer the question: Yes. It's a mid/entry-level SLR from one of the top brands, and so it unquestionably fits. It may not be the perfect match for your needs, so if you're really concerned, sure, look around a little bit before impulse-buying, but everything in photography requires some compromise or another. This particular model is popular, well-reviewed, and top-selling — so, yes, it's an appropriate entry-level dSLR.
It doesn't have the fastest burst rate in its class, and maybe ditto on the detail at very high ISO. But it's got other things going for it as well — particularly, video and high-detail at low ISO. If this is the camera you're leaning towards, buy it with no regrets.