Math  /  Calculus

QuestionFind the limit as xx approaches 2 for the expression x2+x6x24\frac{x^{2}+x-6}{x^{2}-4}.

Studdy Solution
Calculate the limit.
limx2x+3x+2=54=1.25\lim{x \rightarrow2} \frac{x+3}{x+2} = \frac{5}{4} =1.25So, the limit of the function x2+x6x24\frac{x^{2}+x-6}{x^{2}-4} as xx approaches2 is1.25.

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