Hi there, how can I prove that lim x->0 sqrt(abs(x)).sin(1/x) = 0?
Follow Math Help Forum on Facebook and Google+
Originally Posted by dgmath Hi there, how can I prove that lim x->0 sqrt(abs(x)).sin(1/x) = 0? Squeeze theorem.
Originally Posted by dgmath Hi there, how can I prove that lim x->0 sqrt(abs(x)).sin(1/x) = 0? $\displaystyle |\sqrt{|x|}sin\frac{1}{x}|\leq\sqrt{|x|}<\epsilon\ Longleftrightarrow|x|<\epsilon^2$. So choose $\displaystyle \delta<\epsilon^2$
squeeze theorem it is! thanks!
View Tag Cloud