The study of the relative power and limits of genetic and environmental influences on behavior is known as

Behavior genetics.

Explanation:

Genetics may be defined as a branch of biology that studies the inheritance and variation of the inherited characters. Mendel is known as the father of the genetics.

Behavior genetics may be defined as the field of the scientific research that uses the genetic methods to investigate the behavioral differences in the individual. This genetics uses the limits of genetics and environmental impact on the individual's behavior.

Thus, the answer is behavior genetics.