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Evaluate the limit as x approaches 0 f(x) and lim approaches negative infinity f(x) for the following function. Use infinity or negative infinity where appropriate. Then give the horizontal asymptotes of f if any. f(x) =2x^3+8/ 4x^3+square root of 64x^6+3.
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Definitions for vertical and horizontal asymptotes: http://en.wikipedia.org/wiki/Asymptote#Vertical_asymptotes
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