Answer
$\lim _{x\rightarrow c}\dfrac {1}{f\left( x\right) }=\dfrac {\lim _{x\rightarrow c}\left( 1\right) }{\lim _{x\rightarrow c}f\left( x\right) }=\dfrac {1}{\lim _{x\rightarrow c}f\left( x\right) }$
Work Step by Step
$\lim _{x\rightarrow c}\dfrac {1}{f\left( x\right) }=\dfrac {\lim _{x\rightarrow c}\left( 1\right) }{\lim _{x\rightarrow c}f\left( x\right) }=\dfrac {1}{\lim _{x\rightarrow c}f\left( x\right) }$
