Questions
UCIC 202503 EMTH118 Quiz 6
Numerical
NOTE: Due to formatting constraints, limits are shown with a horizontal bar in these quiz questions.For example: will be written as: [math: limx→af(x)] \frac{lim}{x \rightarrow a }f(x) Solve the following limit and write your answer to three decimal places.[math: limx→2(x3+7x2−18xx2−4)] \frac{lim}{x \rightarrow 2 } (\frac{x^3+7x^2-18x}{x^2-4})
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Step-by-Step Analysis
The problem asks us to evaluate a limit of a rational expression as x approaches 2.
First, I look at the numerator: x^3 + 7x^2 − 18x. This can be factored by pulling out an x: x(x^2 + 7x − 18).
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NOTE: Due to formatting constraints, limits are shown with a horizontal bar in these quiz questions.For example: will be written as: \( \frac{lim}{x \rightarrow a }f(x) \)Solve the following limit and write your answer to three decimal places.\( \frac{lim}{x \rightarrow 2 } (\frac{x^3+7x^2-18x}{x^2-4}) \)
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