## anonymous 4 years ago $\lim_{x \rightarrow 0}\left| \left| x \right|^{\beta}\times \frac{\left| 1-e ^{-x} \right|}{\left| x \right|} \times sin(\frac{1}{x})\right|$$\beta>1$

1. bahrom7893

hmm I'm thinking what if we divide by that abs(x) on the bottom

2. bahrom7893

so the lim becomes |x|^(beta-1)

3. bahrom7893

hmm interesting problem, let me get over some of my own homework, then will focus on this. Maybe someone else can help meanwhile.