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5.11 Modals to express offers: CAN, COULD, WILL, SHALL, MAY

Can, could, will, shall and may are used to express offers:

Can I help you?
May I carry your suitcase, Madam? (only in first-person questions)
I could give you a lift.
Shall I copy this document for you? (only in first-person questions)
I will make you a coffee.