Expressing an expectation for an action

Question

Here's a sentence that expresses an expectation for an object:

I've been expecting your email.

How would it work if it had to express an expectation for an action instead?

Would the following be correct:

I've been expecting you to write me.

Answer 1

I've been expecting you to {perform some action}

is perfectly correct.

As an aside: in British English you are more likely to say write to me than write me. I believe the converse applies in US English.