Kekontinuan Dan Ketidakdiferensialan Suatu Fungsi Weierstrass Serta Kaitannya Dengan Geometri Fraktal

Abstract

In this research, we investigate the continuity and non differentiable of some, defined as: The fractal dimension of some Weierstrass functions is also analysed and the results show that its fractal dimension is greater than its topology dimension. From graphical review, it can be seen that the function has self similarity. Since the function has two characteristics of fractal geometry hence the function is one of fractal.