Find lim_(x rarr3)f(x) for f(x)=(x^(2)-4)/(11-2x)

Identify function and point: Identify the function and the point at which we need to find the limit. We are given f(x) = (x^2 - 4) / (11 - 2x) and we need to find the limit as x approaches 3.Substitute x with 3: Substitute x with 3 in the function to check if the function is defined at that point. f(3) = ((3)^2 - 4) / (11 - 2(3)) f(3) = (9 - 4) / (11 - 6) f(3) = 5 / 5 f(3) = 1 Since we get a defined value, there is no need for further simplification, and the limit as x approaches 3 is simply the value of the function at x = 3.

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Find
lim_(x rarr3)f(x) for

f(x)=(x^(2)-4)/(11-2x)

Find $\lim _{x \rightarrow 3} f(x)$ for $\newline$ $f(x)=\frac{x^{2}-4}{11-2 x} \text {. }$

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Math Problems

Algebra 2

Evaluate exponential functions

Full solution

Q. Find

\lim _{x \rightarrow 3} f(x)

for

\newline

f(x)=\frac{x^{2}-4}{11-2 x} \text {. }

Identify function and point: Identify the function and the point at which we need to find the limit. We are given $f(x) = \frac{x^2 - 4}{11 - 2x}$ and we need to find the limit as $x$ approaches $3$ .
Substitute $x$ with $3$ : Substitute $x$ with $3$ in the function to check if the function is defined at that point. $\newline$ $f(3) = ((3)^2 - 4) / (11 - 2(3))$ $\newline$ $f(3) = (9 - 4) / (11 - 6)$ $\newline$ $f(3) = 5 / 5$ $\newline$ $f(3) = 1$ $\newline$ Since we get a defined value, there is no need for further simplification, and the limit as $x$ approaches $3$ is simply the value of the function at $3$ $0$ .