设函数f(x)∈C(R),且limf(x)(x趋向于无穷大)=+∞ 证明:f(x)在R上取到它的最小值
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/28 10:27:16
![设函数f(x)∈C(R),且limf(x)(x趋向于无穷大)=+∞ 证明:f(x)在R上取到它的最小值](/uploads/image/z/5348750-14-0.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%E2%88%88C%28R%29%2C%E4%B8%94limf%28x%29%28x%E8%B6%8B%E5%90%91%E4%BA%8E%E6%97%A0%E7%A9%B7%E5%A4%A7%29%3D%2B%E2%88%9E+%E8%AF%81%E6%98%8E%3Af%28x%29%E5%9C%A8R%E4%B8%8A%E5%8F%96%E5%88%B0%E5%AE%83%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC)
设函数f(x)∈C(R),且limf(x)(x趋向于无穷大)=+∞ 证明:f(x)在R上取到它的最小值
设函数f(x)∈C(R),且limf(x)(x趋向于无穷大)=+∞ 证明:f(x)在R上取到它的最小值
设函数f(x)∈C(R),且limf(x)(x趋向于无穷大)=+∞ 证明:f(x)在R上取到它的最小值
取K=f(0),则存在正数M,当|x|>M时,f(x)>K=f(0).
由连续性,当|x|<=M时,f(x)有最小值N<=f(0)
易证N是f(x)在R上的是小值.
设函数f(x)∈C(R),且limf(x)(x趋向于无穷大)=+∞ 证明:f(x)在R上取到它的最小值
设函数f(x)在R上连续,且当X趋向于无穷大时,limf(x)=A.证明:f(x)在R上必有界.
设f(x)在R上连续,且limf(x)=A(x-->-∞),limf(x)=B(x-->+∞),A*B
设函数f(x)在R上可导,且对任意x∈R有|f‘(x)|
设函数f(x)在x=0处连续,在(0,c)(c>0)内可导,且limf(x)'=A,x趋向于0,证明:f+(0)'存在,且f+(0)'=A
设函数在(-∝,∞)内可导,且f(x)=e^-2x+limf(x),x->0则f'(x)等于?
设函数f(x)在x=1处连续,且limf(x)/x-1的极限=2,则f(1)等于多少
设f(x)=1/(a+|a|e^bx)在R上连续且limf(x)=0(X趋于负无穷)确定a,b符号求limf(x)的值 x趋于正无穷
设函数f(x)在[a,b)上单调增加,且存在极限limf(x)=A,证明f(x)在[a,b)上有界
设limf(x)=A,且A>0,证明lim根号f(x)=根号A
设函数f(x)对于任意x,y∈R,都有f(x+y)=f(x)+f(y),且x>0时f(x)
设函数f(x)对任意x,y∈R,都有f(x+y)=f(x)+f(y),且x>0,f(x)
已知函数f(x)在x=6的邻域内可微,且x趋向6 limf(x)=0,limf'(x)=88 求下列函数的极限
已知函数f(x)在x=6的邻域内可微,且x趋向6 limf(x)=0,limf'(x)=88 求下列函数的极限
设f(x)在(a,+∞)内可导,且limf(x)=A>0(当x-->+∞),证明limf(x)=+∞(当x-->+∞)
设函数发(x)对于任意x,y∈R,都有f(x+y)=f(x)+f(y),且x>0时,f(x)
证明:若函数f x 在(a,∞)连续,且limf x =A与limf x =B,则f x 在(a,∞)有界
设f(x)是二次函数,且对于任意x∈R,有f²(x)+1=f[f(x)],求f(x)的表达式.