Step-by-step Solution

Evaluate the limit of $x^2-1\cdot 8x+7$ as $x$ approaches $3$

Go!
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Final Answer

$-\frac{2}{5}$$\,\,\left(\approx -0.4\right)$

Step-by-step explanation

Problem to solve:

$\lim_{x\to3}\left(\frac{x^2-1\cdot 8\cdot x+7}{x^3-1\cdot 3\cdot x+2}\right)$

Choose the solving method

1

Evaluate the limit $\lim_{x\to3}\left(\frac{x^2-8x+7}{x^3-3x+2}\right)$ by replacing all occurrences of $x$ by $3$

$\frac{3^2-8\cdot 3+7}{3^3-3\cdot 3+2}$
2

Simplifying, we get

$-\frac{2}{5}$

Final Answer

$-\frac{2}{5}$$\,\,\left(\approx -0.4\right)$
$\lim_{x\to3}\left(\frac{x^2-1\cdot 8\cdot x+7}{x^3-1\cdot 3\cdot x+2}\right)$

Time to solve it:

~ 0.07 s (SnapXam)