Question

$$lim_{x\rightarrow2}\frac{|2-x|}{2-x}$$

Answer

l<-(2*abs(2-x))/(IM*m*x*(2-x))

Solution


Simplify  \(2\times \frac{|2-x|}{2-x}\)  to  \(\frac{2|2-x|}{2-x}\).
\[l\imath mx->\frac{2|2-x|}{2-x}\]
Regroup terms.
\[-+l\imath mx>\frac{2|2-x|}{2-x}\]
Divide both sides by \(\imath \).
\[-+lmx>\frac{\frac{2|2-x|}{2-x}}{\imath }\]
Simplify  \(\frac{\frac{2|2-x|}{2-x}}{\imath }\)  to  \(\frac{2|2-x|}{\imath (2-x)}\).
\[-+lmx>\frac{2|2-x|}{\imath (2-x)}\]
Divide both sides by \(m\).
\[-+lx>\frac{\frac{2|2-x|}{\imath (2-x)}}{m}\]
Simplify  \(\frac{\frac{2|2-x|}{\imath (2-x)}}{m}\)  to  \(\frac{2|2-x|}{\imath m(2-x)}\).
\[-+lx>\frac{2|2-x|}{\imath m(2-x)}\]
Divide both sides by \(x\).
\[-+l>\frac{\frac{2|2-x|}{\imath m(2-x)}}{x}\]
Simplify  \(\frac{\frac{2|2-x|}{\imath m(2-x)}}{x}\)  to  \(\frac{2|2-x|}{\imath mx(2-x)}\).
\[-+l>\frac{2|2-x|}{\imath mx(2-x)}\]
Multiply both sides by \(-1\).
\[l<-\frac{2|2-x|}{\imath mx(2-x)}\]