How do you invest in Bitcoin with a small sum of money? i.e. $2,000 - $3,000.

Of course, cryprocurrencies like ETH and BTC allow you to purchase a fraction of a coin. The minimum however depends on your exchange, places like Coinhako requires a minimum of $45, Binance SG $20, Gemini has no minimum that I know of.

Do find an exchange that suits your needs, some may have higher fees but may suit your needs.

However, I will still recommend Gemini as it is MAS regulated, charges one of the lowest commission fees(0.35%) and has a wondeful easy to use app and Trader platform. On top of that, you can earn interest on the coins you bought(BTC at 2.05% and ETH at 3.05%). And if you're just going to buy Bitcoin and Ethereum, you can choose to do so with SGD and not have a hassle with USD deposits etc..

Invest safe :)

I think you've had a misunderstanding regarding crypto. All platforms from which you can purchase crypto from support 'fractional Bitcoin'. From binance (SG/.com), Gemini, Coinbase or any other platform, you're not indirectly buying Bitcoin when you buy less than 1 Bitcoin. It's still Bitcoin. You can think of it like how 10 cents is still real SGD even though it's less than SGD1.

As such, the limitation to crypto is only in the minimum order size on the exchange which is usually around $10-20.​​​