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# Find the limit of $\frac{x^2+4}{5+3e^{\left(2x+1\right)}}$ as $x$ approaches $\infty$

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## Basic Derivatives

· Sum Rule for Differentiation
$\frac{d}{dx}\left[f\left(x\right)+g\left(x\right)\right]=\frac{d}{dx}f\left(x\right) + \frac{d}{dx}g\left(x\right)$
· Derivative of a Constant
$\frac{d}{dx}\left(c\right)=0$
· Power rule for derivatives
$\frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}$
$\frac{d}{dx}\left(cx\right)=c\frac{d}{dx}\left(x\right)$
· Derivative of the linear function
$\frac{d}{dx}\left(x\right)=1$
$\lim_{x\to+\infty}\left(\frac{X^2+4}{5+3e^{2x+1}}\right)$

### Main topic:

Limits to Infinity

~ 0.13 s