In this case, the cause of tay-sachs disease is a point mutation of the type missense.
it's called a point mutation when a single nucleotide base is changed, inserted or deleted from a DNA or RNA sequence . A subtype of this mutation is a missense mutation and that's when a amino acid is switched by another.
It's possible that a switch in the following codons caused the disease:
glutamine codons: CAA, CAG
Arginine's codons: CGU, CGC, CGA, CGG, AGA, and AGG