# How do you find the limit of #(5x^2-8x-13)/(x^2-5)# as x approaches 3?

Use the properties of limits.

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To find the limit of (5x^2-8x-13)/(x^2-5) as x approaches 3, we can substitute 3 into the expression and simplify. By substituting 3 for x, we get (5(3)^2-8(3)-13)/(3^2-5). Simplifying further, we have (45-24-13)/(9-5), which becomes 8/4. Therefore, the limit is equal to 2.

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To find the limit of (5x^2 - 8x - 13) / (x^2 - 5) as x approaches 3, first substitute 3 for x in the expression. Then simplify the expression to find the limit.

(5(3)^2 - 8(3) - 13) / ((3)^2 - 5)

= (45 - 24 - 13) / (9 - 5)

= (8) / (4)

= 2

Therefore, the limit of the expression as x approaches 3 is 2.

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