Pertanyaan

Nilai dari x → 4 π L im cos 2 x 1 − sin 2 x adalah ....

Nilai dari $x \to \frac{π}{4} L im \frac{1 - sin 2 x}{cos ^{2} x} adalah ....$

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Limit tersebut akan didapat dengan mensubtitusikan , yaitu:

$begin mathsize 14px style stack L i m with x rightwards arrow begin inline style straight pi over 4 end style below space fraction numerator 1 minus sin space 2 x over denominator cos squared x end fraction equals space fraction numerator 1 minus sin space 2 begin display style left parenthesis straight pi over 4 right parenthesis end style over denominator cos squared begin display style left parenthesis straight pi over 4 right parenthesis end style end fraction equals space fraction numerator 1 minus sin space begin display style left parenthesis straight pi over 2 right parenthesis end style over denominator cos squared begin display style left parenthesis straight pi over 4 right parenthesis end style end fraction equals fraction numerator 1 minus 1 over denominator begin display style left parenthesis 1 half square root of 2 right parenthesis squared end style end fraction equals fraction numerator 0 over denominator begin display style bevelled 1 half end style end fraction equals 0 end style$