1个回答
2016-10-31
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第一个:
(x→∞)lim {(x+3)/(x-3)}^x
= (x→∞)lim {(x-3+6)/(x-3)}^x
= (x→∞)lim { 1 + 6/(x-3)}^(x-3) * { 1 + 6/(x-3)}^3
= e^6 * 1
= e^6
第二个:
= 0
(分子有限,分母∞,极限 = 0)
(x→∞)lim {(x+3)/(x-3)}^x
= (x→∞)lim {(x-3+6)/(x-3)}^x
= (x→∞)lim { 1 + 6/(x-3)}^(x-3) * { 1 + 6/(x-3)}^3
= e^6 * 1
= e^6
第二个:
= 0
(分子有限,分母∞,极限 = 0)
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