Questions: Find each function value and the limit for f(x)=(11-6x^2)/(4+x^2). Use (A) f(-10) (B) f(-20)

Transcript text: Find each function value and the limit for $f(x)=\frac{11-6 x^{2}}{4+x^{2}}$. Use (A) $f(-10)$ (B) $f(-20)$

Solution

Step 1: Finding the Function Value

To find $f(x)$ for $x = -10$, substitute the value into the function to get $f(-10) = -5.663$.

Step 2: Finding the Limit

Since $n = m$, the limit as $x$ approaches $\pm\infty$ is $ rac{a}{c} = rac{-6}{1}$.

Step 1: Finding the Function Value

To find $f(x)$ for $x = -20$, substitute the value into the function to get $f(-20) = -5.913$.

Step 2: Finding the Limit

Since $n = m$, the limit as $x$ approaches $\pm\infty$ is $ rac{a}{c} = rac{-6}{1}$.

Final Answer: The limit of the function as $x$ approaches $\pm\infty$ is -6.

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