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Would it be considered appropriate to use a market order for my very first stock trade?
Obvious answer but the limit order should be set at the price that you are willing to pay :). More usefully, if you want a decent chance of the order filling in short notice you should place the order one price tick above the current highest buyer (bid price). As long as high frequency trading remains alive I would advise against ever using market orders, these algorithmic trades can occasionally severely distort the price of a security in a fraction of a second. So if your market order happens to fill in during such a distortion you might end up massively overpaying/underselling.