来自冷晓冰的问题
【求间断点,说明类型;f(x)={2x-1(x>1);0(x=1);sin(x-1)/(x-1)(x】
求间断点,说明类型;f(x)={2x-1(x>1);0(x=1);sin(x-1)/(x-1)(x
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2020-01-24 00:06
【求间断点,说明类型;f(x)={2x-1(x>1);0(x=1);sin(x-1)/(x-1)(x】
求间断点,说明类型;f(x)={2x-1(x>1);0(x=1);sin(x-1)/(x-1)(x
∵右极限f(1+0)=lim(x->1+)(2x-1)=2*1-1=1
左极限f(1-0)=lim(x->1-)[sin(x-1)/(x-1)]=1(应用重要极限lim(z->0)(sinz/z)=1)
又f(1)=0
∴根据间断点分类定义知,x=1是函数f(x)的可去间断点.