Function Expression :
\[f(x)=\frac{1}{1-x} \]Domain
\[\left]-\infty, 1\right[ \cup \left]1, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 0 \]\[\lim_{x \overset{<}{\rightarrow1} }f(x) = +\infty \]
\[\lim_{x \overset{>}{\rightarrow1} }f(x) = -\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{1}{\left(1 - x\right)^{2}} \]\[f^{\,\prime}(x)=\frac{1}{\left(x - 1\right)^{2}} \]
\[ \]
Integral
\[F(x) = - \log{\left(x - 1 \right)} \]Sign Table
Variation Table
Plot
Elapsed Time: 0.0123 seconds