lim(x趋于0),tanx -sinx /sin ³x 求答案(数学理工学习)

\u7406\u5de5\u5b66\u79d1\uff0c\u6570\u5b66\uff0c\u5b66\u4e60

\u7406\u5de5\u79d1\u80af\u5b9a\u8981\u5b66\u4e60\u6570\u5b66\uff0c\u8003\u7814\u8981\u8003\u6570\u5b66\u4e8c

\u7b2c\u4e00\u9875\uff1a
6\u3001AB=AC(\u2220B=\u2220C)
7\u3001\u2220EBC=36\u00b0
8\u3001\u2220CEF=57.5\u00b0
9\u3001\u2220BDC=72\u00b0

lim (tanx-sinx)/sin³x
x→0
=lim (sinx/cosx -sinx)/sin³x
x→0
=lim (1-cosx)/(sin²xcosx)
x→0
=lim ½x²/(x²·cos0)
x→0
=½