题:求极限lim (x趋向于∞)(2x+1)^5乘以(3x-5)^4/(2x-3)^9=______.
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![题:求极限lim (x趋向于∞)(2x+1)^5乘以(3x-5)^4/(2x-3)^9=______.](/uploads/image/z/1344124-28-4.jpg?t=%E9%A2%98%EF%BC%9A%E6%B1%82%E6%9E%81%E9%99%90lim+%28x%E8%B6%8B%E5%90%91%E4%BA%8E%E2%88%9E%29%EF%BC%882x%2B1%EF%BC%89%5E5%E4%B9%98%E4%BB%A5%283x-5%29%5E4%2F%282x-3%29%5E9%3D______.)
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题:求极限lim (x趋向于∞)(2x+1)^5乘以(3x-5)^4/(2x-3)^9=______.
题:求极限lim (x趋向于∞)(2x+1)^5乘以(3x-5)^4/(2x-3)^9=______.
题:求极限lim (x趋向于∞)(2x+1)^5乘以(3x-5)^4/(2x-3)^9=______.
上下同除以x^9得:lim(x→∞)(2+1/x)^5*(3-5/x)^4/(2-3/x)^9
因为x→∞,所以1/x→0,-5/x→0,-3/x→0,所以原式=
lim(x→∞)2^5*3^4/2^9=3^4/2^4=81/16
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