Like x tends to 0. Cos mx - cos nx/x^2

Dear student
limx0cosmx-cosnxx2Apply L hopitals rule=limx0-msinmx+nsinnx2xApply L hopitals rule=limx0-m2cosmx+n2cosnx2Put x=0, we get=-m2cosm0+n2cosn02=n2-m22
Regards

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