Question

course
ap precalculus
due mon, nov 17, 2025
2
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1. \\( \lim _ { x \

ightarrow 2 } \frac { x - 3 } { x - 5 } \\)
text math set matrix
answer

Explanation:

Step1: Substitute \(x = 2\) into the function

Substitute \(x = 2\) into \(\frac{x - 3}{x - 5}\).

$$ \frac{2 - 3}{2 - 5} $$

Step2: Simplify the expression

Simplify the numerator \(2-3=-1\) and the denominator \(2 - 5=-3\).

$$ \frac{-1}{-3}=\frac{1}{3} $$

Answer:

\(\frac{1}{3}\)