计算极限 lim(sin3x/sin5x) x趋近于0 lim[2x²/（1-cosx)]x趋近于0文科····

来源：学生作业帮助网编辑：作业帮时间：2024/04/30 04:19:58

计算极限 lim(sin3x/sin5x) x趋近于0 lim[2x²/（1-cosx)]x趋近于0文科····
计算极限 lim(sin3x/sin5x) x趋近于0 lim[2x²/（1-cosx)]x趋近于0
文科····

计算极限 lim(sin3x/sin5x) x趋近于0 lim[2x²/（1-cosx)]x趋近于0文科····
lim(sin3x/sin5x) x趋近于0
=lim3/5(5xsin3x/3xsin5x) x趋近于0
=3/5
lim[2x²/（1-cosx)]x趋近于0
=lim[2x²/（2sin^x)]x趋近于0
=1

1. lim[ sin(3x)/sin(5x) , x->0] 等价无穷小代换
= lim[ 3x /(5x), x->0] = 3/5
2. lim[ 2x²/(1-cosx) , x->0] 等价无穷小代换
= lim[ 2x² / (x²/2) , x->0]
=4
或：原式= lim[ 4x / sinx, x->0] 罗必塔法则
=4

求极限,lim(x→π)sin3x/sin5x 计算lim（x→0）sin3x/sin5x 求极限sin5x/sin3x,当x无限接近0时,求极限值.lim sin5x/sin3x ,x-->0 ,求极限值. 计算极限 lim(sin3x/sin5x) x趋近于0 lim[2x²/（1-cosx)]x趋近于0文科···· 计算下列极限:lim x/sin3x lim（x→0）sin5X/sin3X lim(x-0)(sin3x*sin5x)/(x^2) 2.3计算极限lim(x→0) sin2x / sin5x limx→0sin3x/sin5x,求极限求极限limx-0 sin3x/sin5x lim(x+sin3x)/(x-sin3x)的极限 lim(x→0+)[ln(sin5x)]/[ln(sin3x)] 这题咋做极限lim x 趋于0 sin2x/sin5x x->1时(sin5x-sin3x)/sinx的极限是多少 sin3x-sin5x/ x 当x趋于0时的极限 x趋近于0,sin5x分之sin3x的极限是? 求极限 lim(sin2x/sin3x) x->π 1.计算下列极限：lim(下面是x→0) （-sin3x+cosx）^(1/x)