I have had good success in getting a card with a low limit, then calling them and telling them why they should give me a much higher limit. Involves a slightly insulted, but polite tone of voice, and factual info about net worth, liquid cash for which I could show them bank statements right now, and income which I could prove right now. Sometimes I am referred to "the bank" or other specialist in this type of thing. So I get the impression that if you deserve a highter limit, most banks will be most happy to give it to you.

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