lim(x+sin3x)/(x-sin3x)的极限

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lim(x+sin3x)/(x-sin3x)的极限lim(x+sin3x)/(x-sin3x)的极限lim(x+sin3x)/(x-sin3x)的极限此题楼主应该打少了x→0或x→∞的条件,不过无论是

lim(x+sin3x)/(x-sin3x)的极限
lim(x+sin3x)/(x-sin3x)的极限

lim(x+sin3x)/(x-sin3x)的极限
此题楼主应该打少了x→0或x→∞的条件,不过无论是上述哪种情况,均可利用多次洛必达法则进而求得答案【分子分母分别求导】
原式=lim(1+3cos3x)/(1-3cos3x)
=lim(-9sin3x)/(9sin3x)
=-1