NEW FUNCTION

Function Expression :

\[f(x)=\frac{4}{x}+3 \]

Domain

\[\left]-\infty, 0\right[ \cup \left]0, \infty\right[ \]

Limits

\[\lim_{x \rightarrow-\infty}f(x) = 3 \]
\[\lim_{x \overset{<}{\rightarrow0} }f(x) = -\infty \]
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = +\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = 3 \]
\[ \]

Derivate

\[f^{\,\prime}(x)=- \frac{4}{x^{2}} \]
\[ \]

Integral

\[F(x) = 3 x + 4 \log{\left(x \right)} \]

Sign Table


Variation Table


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