设 f（0）=1 ,f'(0)= -1 求------------------ X→0时,( cosX - f(x) )÷ X =_数学解答

设 f（0）=1 ,f'(0)= -1 求------------------ X→0时,( cosX - f(x) )÷ X =

人气：111 ℃　时间：2020-07-01 23:56:59

解答

lim(X→0)[cosx-f(x)]/x
=lim(X→0)[-sinx-f'(x)]
=-f'(0)
=1