在函数f(x)=sinx/x(x→0)中,不论x为多少f(x)值都为0.017452406但在Limsinx/x(x→0)式中Limsinx/x(x→0)值却为1,想问这个式子是怎么得来的?当x为0.02时,f(x)为0.017453292;当x为0.005时,f(x)为0.017453292;当x

Question

在函数f (x)= sinx/x ( x →0)中,不论x为多少 f(x)值都为0.017452406
但在Lim sinx/x (x →0)式中Lim sinx/x (x →0)值却为1,想问这个式子是怎么得来的?
当x为0.02时,f(x)为0.017453292; 当x为0.005时,f(x)为0.017453292; 当x为0.0008时,f(x)为0.017453292 ........

Answer 1

0sinx
1>sinx/x>cosx
0