Complete the table and use the result to estimate the limit. $\lim _ { x \rightarrow 1 } \frac { \sqrt { - 8 x + 10 } - \sqrt { 2 } } { x - 1 }$ $\begin{array}{lllllll}
x & 0.9 & 0.99 & 0.999 & 1.001 & 1.01 & 1.1\
f(x)
\end{array}$
A)2.828427
B)-2.703427
C)-2.828427
D)2.66176
E)2.578427

Question

Quizplus · Accepted Answer

The limit of the given function as $x$ approaches 1 can be found by evaluating the function at values of $x$ increasingly close to 1 from both the left and right. The correct answer, -2.828427, is obtained by calculating these values and observing the trend as $x$ approaches 1. The values of $f(x)$ will converge to this number, indicating the limit.

Complete the Table and Use the Result to Estimate the Limit