Given constants $\alpha, \beta > 0$ define $$ f_{\alpha, \beta}(x) = x^{\alpha} \sin(x^{\beta})$$ for $x > 0$.
For which pairs $\alpha, \beta$ is $f_{\alpha, \beta}$ uniformly continuous?
Given constants $\alpha, \beta > 0$ define $$ f_{\alpha, \beta}(x) = x^{\alpha} \sin(x^{\beta})$$ for $x > 0$.
For which pairs $\alpha, \beta$ is $f_{\alpha, \beta}$ uniformly continuous?
Copyright © 2021 JogjaFile Inc.