Question and Answers Forum

All Questions      Topic List

Limits Questions

Previous in All Question      Next in All Question      

Previous in Limits      Next in Limits      

Question Number 80718 by TawaTawa last updated on 05/Feb/20

$$\mathrm{Evaluate}:\underset{x\to 0}{\lim }\frac{\mathrm{x}}{\mid \mathrm{x}\mid }$$

Commented by mind is power last updated on 05/Feb/20

$$\mid x\mid =\{\begin{array}{l}x,x>0\\ -x,x<0\end{array}$$$$\Rightarrow \underset{x\to 0^{+}}{\lim }\frac{x}{\mid x\mid }=\underset{x\to 0^{+}}{\lim }=\frac{x}{x}=1$$$$\underset{x\to 0^{-}}{\lim }\frac{x}{\mid x\mid }=\underset{x\to 0^{-}}{\lim }\frac{x}{-x}=-1$$$$\underset{x\to 0}{\lim }\frac{x}{\mid x\mid }dontexist$$

Commented by TawaTawa last updated on 08/Feb/20

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com