please help me with this [duplicate]

Solution 1:

Both words are adverbs, and grammatically speaking, you can use both to fill in the blank space.

Continuously means without a pause or interruption

Cambridge Dictionary

Continually means in a way that happens repeatedly

Cambridge Dictionary

However, like what your teacher has said, I also think that continuously might be a better choice because there are no other signs in your sentence to show the repetition. It seems to me that the act of shivering and sweating here refers to a continuous action at a fixed point in time that might have lasted for a short period.

• I shivered and sweated continuously after seeing the exam paper.

But if you use the word continually, I think you have had several rounds of shivering and sweating (with certain starts and stops in time).