First, because the sounds [d] and [t] are blended into a single consonant when
used to is pronounced ([ju:z
tu]), many writers are unaware that the
d is even present and omit it in writing. See also
“supposed to".
Second, use "use to" without a
d when it follows did or didn't. Like this,
Ex: Did you
use to live in Boston?
Ex: Didn't you
use to play baseball?
Ex: What sort of things did you
use to study?
The reason
d isn't needed in those examples is this: the word
did is in the past tense, and in English there's this rule that says that only one verb per simple sentence can carry tense.

So, in our examples above, past "use
d" becomes bare "use" because the auxiliary verb
did carries the tense. Watch this,
Sam: I
used to live in Boston.
Max:
Didn't Pat
use to live in Boston also?
Read more
here.
All the best.
