Pertanyaan

Nilai dari x → 1 + lim x 2 + 2 x − 3 sin 4 1 π x adalah....

Nilai dari $x \to 1^{+} lim \frac{sin \frac{1}{4} π x}{x ^{2} + 2 x - 3}$ adalah....

-1
0
1

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Klaim

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 1 to the power of plus of fraction numerator sin space begin display style 1 fourth end style pi x over denominator x squared plus 2 x minus 3 end fraction equals limit as x rightwards arrow 2 of fraction numerator begin display style 1 fourth pi space cos 1 fourth pi x end style over denominator 2 x plus 2 end fraction equals fraction numerator begin display style 1 fourth pi space cos space pi over 2 end style over denominator 2 open parentheses 2 close parentheses plus 2 end fraction equals 0 over 6 equals 0$