The maximum limits are between 4.500,- Euro and 50.000,- Euro, depending on the card. Normally you don't have to worry about the limits. The highest limits are usually for SEPA transfers. With some payment methods, the top-ups per process and per day are limited to around 500,- Euro to 1.000,- Euro.
The limit for cash at the machine is between 500,- Euro and 2.400,- Euro per day and per week. This is above average when compared to normal debit cards from large banks such as DKB Bank or Commerzbank AG.