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Given $f(x)=\frac{2 x}{x^{3}+216},$ find $$\lim _{x \rightarrow-6} f(x)$$

$\left(\begin{array}{c}\text { dne } \\ -\infty\end{array}\right)$

Calculus 1 / AB

Chapter 11

Bridges to Calculus: An Introduction to Limits

Section 1

An Introduction to Limits Using Tables and Graphs

Limits

Differentiation

Continuous Functions

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University of Nottingham

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So here we're looking to find the limit as X approaches negative six of f of X. We can stop a plugging in different numbers into our table values journey with numbers from the left hand side such as negative 6.1 negative 6.1 and negative 6.1 That means that our Kovacs is equal to 1.11 Could we get 11.11 in 1 11? Wait 11 So, as you can see from the left inside, our limit is going towards infinity. On the right hand side, we can plug in numbers such as negative 5.9 negative 5.99 negative 5.999 which gets us affects. We have 1.11 negative. 11.11 United have won 11.11 So here our limit is getting towards negative infinity. So that means because I left him. Limit does not equal the right hand limit. That means our limit when, except which is negative. Six of f of X does not exist

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