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Easily.

PSP 1st 3 years - 32,385,115
3DS 1st 3 years - 42,440,159

I fail to see how the 3DS is supposedly going to struggle to surpass something it is already out-trending by over 10 million units. It may not be nearly on pace with its predecessor the DS, but that's not your question. Your question is whether it will overtake the PSP, which I think it is clear that it will do that and more. Combine that with the fact that in it's first 3 years, the 3DS has sold almost half of the PSP's lifetime software sales, I see no reason for why the 3DS won't cruise past the PSP's lifetime hardware number.