用洛比达法则求极限?1 lim sinx-sina /(x^2-a^2) (a≠0)x→a2 lim (cosax-cosbx)/x^2 (a,b≠0)x→0

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用洛比达法则求极限?1 lim sinx-sina /(x^2-a^2) (a≠0)x→a2 lim (cosax-cosbx)/x^2 (a,b≠0)x→0
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用洛比达法则求极限?1 lim sinx-sina /(x^2-a^2) (a≠0)x→a2 lim (cosax-cosbx)/x^2 (a,b≠0)x→0
用洛比达法则求极限?
1 lim sinx-sina /(x^2-a^2) (a≠0)
x→a
2 lim (cosax-cosbx)/x^2 (a,b≠0)
x→0

用洛比达法则求极限?1 lim sinx-sina /(x^2-a^2) (a≠0)x→a2 lim (cosax-cosbx)/x^2 (a,b≠0)x→0
1.lim sinx-sina /(x^2-a^2)=lim cosx/2x=cosa/2a
2.lim (cosax-cosbx)/x^2 =lim (-a*sinax+b*sinbx)/2x
=lim [-(a^2) *cosax+(b^2) *cosbx]/2=(b^2-a^2)/2