题文
![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/e274e2f12d1828e2708300ffd7aadf02.gif)
[ ]
A.2B.-2
C.
![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/77c32b7365c66c850e1dea97837031d5.gif)
D.
![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/554310a1fefaee5096dc5534094feb0f.gif)
题型:未知 难度:其他题型
答案
B点击查看函数的极限及四则运算知识点讲解,巩固学习
解析
该题暂无解析
考点
据考高分专家说,试题“[ ]A.2 B.-2 .....”主要考查你对 [函数的极限及四则运算 ]考点的理解。 函数的极限及四则运算函数极限的定义:
(1)当自变量n取正值并且无限增大时,如果函数f(x)无限趋近于一个常数a,就说当x趋向于正无穷大时,函数f(x)的极限是a,
记作![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/Fo-hJ4_bWJGas4xbxLaVfQrpkSRt.gif)
或当x→+∞是,f(x)→a;
(2)当自变量n取负值并且绝对值无限增大时,如果函数f(x)无限趋近于一个常数a,就说当x趋向于负无穷大时,函数f(x)的极限是a,记作![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/20111027155513001.gif)
或当x→-∞是,f(x)→a;
若![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/Fi81xpw3DIdIVyRMh5OVrQNzMkns.gif)
,称x→∞时,f(x)的极限是a,![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/FqN5mNksxT4VjggcneoJPXworFkI.gif)
。
函数的左极限:
当x从x=x0点的左侧(即x<x0)无限地接近于x0时,f(x)无限趋近于一个常数a,则称a是f(x)在点x0 处的左极限,记作![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/FjiIFkly9XAXz_F7ClsXSjeWdvyM.gif)
;
函数的右极限:
当x从x=x0点的右侧(即x>x0)无限地接近于x0时,f(x)无限趋近于一个常数a,则称a是f(x)在点x0处的右极限,记作![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/FpyIjsgum7aVFH_ow2Yupnuz3i2A.gif)
。
f(x)在点x0处的极限:
当x无限地接近于x0(可由任何方向接近)时,f(x)无限趋近于一个常数a,则称a是f(x)在点x0处的极限,![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/FizX8qPDGBl3J_kSNtYE08HifBFU.gif)
。
函数极限的运算法则:


![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/FpMInTU5R-q7caPfPcZcDnzvuDf3.gif)
![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/Fi1LMYoz7Ki8cC6iL8Mer4sdyIM8.gif)
![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/FhSyQPkF2vqTWepPiMH70TIjEC05.gif)
![[ ]A.2 B.-2 C. D. [ ]A.2 B.-2 C. D.](https://www.mshxw.com/file/tupian/20220506/20111027160114001.gif)
