> 数学 >
求一个极限:x取向无穷,(sin(2/x)+cos(1/x))^x
人气:276 ℃ 时间:2020-05-16 03:54:06
解答
原式=lim(y->0)[(sin(2y)+cosy)^(1/y)] (令y=1/x)=lim(y->0)[(1+(sin(2y)+cosy-1))^(1/y)]=lim(y->0){[(1+(sin(2y)+cosy-1))^(1/(sin(2y)+cosy-1))]^[(sin(2y)+cosy-1)/y]}={lim(y->0)[(1+(sin(2y)+cosy-1))^(1/(sin...
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版