Question

due mon, nov 17, 2025
1
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1. \\( \lim _ { x \

ightarrow 2 } ( x ^ { 2 } - 7 x + 10 ) \\)
text math set matrix
answer

Explanation:

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

$$\begin{align*} \lim_{x ightarrow2}(x^{2}-7x + 10)&=(2)^{2}-7\times(2)+10 \end{align*}$$

Step2: Calculate each term

• Calculate \(2^{2}\): \(2^{2}=4\)
• Calculate \(7\times2\): \(7\times2 = 14\)

So the expression becomes \(4-14 + 10\)

Step3: Perform the arithmetic operations

\(4-14+10=(4 + 10)-14=14-14 = 0\)

Answer:

\(0\)