
第六题,求极限,,,各位大神,求帮忙啊
1个回答
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6.
lim (2x-1)³⁰/[(x+2)¹⁵(2x-15)¹⁵]
x→∞
=lim (2 -1/x)³⁰/[(1 +2/x)¹⁵(2- 15/x)¹⁵]
x→∞
=(2-0)³⁰/[(1+0)¹⁵(2-0)¹⁵]
=2³⁰/(1¹⁵·2¹⁵)
=2¹⁵
=32768
lim (2x-1)³⁰/[(x+2)¹⁵(2x-15)¹⁵]
x→∞
=lim (2 -1/x)³⁰/[(1 +2/x)¹⁵(2- 15/x)¹⁵]
x→∞
=(2-0)³⁰/[(1+0)¹⁵(2-0)¹⁵]
=2³⁰/(1¹⁵·2¹⁵)
=2¹⁵
=32768
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