at the end of something—
1. in the farthest or last part of smth.:
- The player tries to catch with his teeth a cherry suspended at the end of a string.
2. at the finish of an event or activity:
- The audience gave him a big hand at the end of the performance.
3. at the conclusion of a period:
- The fully anglicized spelling genteel came in at the end of the 17th century.
in the end of something—
1. = at the end of something 1:
- I adjusted the knot in the end of the rope to be as a small as possible and as close to the end of the rope as possible.
2. = at the end of something 3:
- The latter pronunciation appears to have been the only one in common use in the end of the 18th century.