# How do you find the limit of #(8-7x+3x^2)/(15-8x^2)# as x approaches infinity?

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To find the limit of (8-7x+3x^2)/(15-8x^2) as x approaches infinity, we can divide every term in the numerator and denominator by the highest power of x, which is x^2. This gives us (8/x^2 - 7/x + 3)/(15/x^2 - 8). As x approaches infinity, the terms with x in the denominator become negligible, and we are left with (0 - 0 + 3)/(0 - 8). Simplifying further, we get 3/-8, which is equal to -3/8. Therefore, the limit of the given expression as x approaches infinity is -3/8.

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