This study explores how the initial terms of the series expansions of exponential, logarithmic, and trigonometric functions can be derived using substitution and various algebraic techniques, without relying on differentiation. Based on these findings...
This study explores how the initial terms of the series expansions of exponential, logarithmic, and trigonometric functions can be derived using substitution and various algebraic techniques, without relying on differentiation. Based on these findings, the study discusses several educational implications, particularly in the context of high school mathematics instruction.