Question

高数求极限

高数求极限第十二题怎么写

Answer 1

等价无穷小sinu~u
=lim2cos((x+sinx)/2)sin((x-sinx)/2)/x³
=lim(x-sinx)/x³
=1/6

Answer 2

原极限=lim(x→0)[sinx-sin(sinx)]/x³ x→0时sinx～x
=lim(x→0)[cosx-cos(sinx)·cosx]/3x²
=lim(x→0)cosx[1-cos(sinx)]/3x² x→0时cosx～0.5x²
=lim(x→0)cosx[0.5(sin²x)]/3x²
=1/6