The i in "big" is very smudged and can't tell us much. An h is not going to be written the same way as a k by many people.

The transition into the e's above is much more informative to me. As is typical there is a smooth connection from the preceding letter to those e's. In the signature there is a very sharp upturn marking the bottom of a k where stroke reverses at the bottom of the stem to form the secondary loop of a cursive k.