Final Answer
$\frac{7}{15}$
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Step-by-step Solution
Problem to solve:
$\lim_{x\to5}\left(\frac{x^2+8x-9}{x^3-x^2+5x-5}\right)$
Specify the solving method
1
Evaluate the limit $\lim_{x\to5}\left(\frac{x^2+8x-9}{x^3-x^2+5x-5}\right)$ by replacing all occurrences of $x$ by $5$
$\frac{5^2+8\cdot 5-9}{5^3-1\cdot 5^2+5\cdot 5-5}$
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$\frac{5^2+8\cdot 5-9}{5^3-1\cdot 5^2+5\cdot 5-5}$
Learn how to solve problems step by step online. Find the limit (x)->(5)lim((x^2+8x-9)/(x^3-x^25x-5)). Evaluate the limit \lim_{x\to5}\left(\frac{x^2+8x-9}{x^3-x^2+5x-5}\right) by replacing all occurrences of x by 5. Multiply 5 times 5. Subtract the values 25 and -5. Multiply 8 times 5.
Final Answer
$\frac{7}{15}$
Exact Numeric Answer
$0.4667$