lim

x—>0

( ! l^j

~T ~ 2

VX sin xy

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M    ]=lim

*-*°lx sm xl «°

: lim -

x² .. sin² x-x² L°-i 2sin ^: lim —t-7— = lun

x‘sm‘x i sin i *->° x~ sur x ^H

1 sm x cos x - lx

■ lim -

sm lx - ix

Loj

lim -

^h0 2x sin ‘ x + x 2 sin x cos x    2xsin“ x+x‘ sin 2x ^H

: lim -

2 cos 2x - 2

= lim -

x(sinx)

(x²) sin² x + x² (sin² x)

cos2x-(2x) -2

(2x) sin²x+2x(sin^: x] +(x²) sin2x+x²(sin2x)

2 cos 2x - 2

*->° 2siir x+2xsin2x+2xsin 2x+ 2x* cos2x *->° 2sin‘ x+4xsin 2x+2x* cos2x ^H -4sin2x    ..    -4sin2x

[?]

lim -

: lim -

^H *->°2sin2x+4sin2x+8xcos2x+4xcos2x-4x sin2x *->° 6sin 2x+12xcos2x-4x sin2x ^H

m

LOJ

lim -

-8cos2x

-8

1

^H *-*° 12cos2x+12cos2x-24xsin2x-8xsin2x-9x‘cos2x 12 + 12    3