Home » Blog » Evaluate the limit Evaluate the limit by RoRi August 26, 2015 Evaluate Since for , and the limit is taken as approaches 0 through positive values, we have, Related
![\[ \lim_{x \to 0^+} \frac{|x|}{x}. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-ff98993e71bf09dd8c69f437b23e564b_l3.png "Rendered by QuickLaTeX.com")
for 
, and the limit is taken as 
approaches 0 through positive values, we have,![\[ \lim_{x \to 0^+} \frac{|x|}{x} = \lim_{x \to 0^+} \frac{x}{x} = 1. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-98cc522221061ba708b80cbf826e05ef_l3.png "Rendered by QuickLaTeX.com")
for , and the limit is taken as approaches 0 through positive values, we have,