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
Plot
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