Limitation of algebra that lead development of calculus and how

Algebra is the study of operations, how an object is varied from a set of numbers. Moreover, calculus is the study of change among these numbers, the chain or algorithmic patterns of change or just random sets of change is the field that calculus values which algebra can not apply or understand. However with the application of both geometry and algebra, calculus is formed. It has the direction/shape and the set of operations at its disposal.