Penjelasan dengan langkah-langkah:
limit (cos²x - sin²x)/(cosx - sinx)
x→π/4
limit (cosx - sinx)(cosx + sinx)/(cosx - sinx)
limit (cosx + sinx)
= cosπ/4 + sinπ/4
= cos45º + sin45º
= 1/2 √2 + 1/2 √2
= √2
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Penjelasan dengan langkah-langkah:
limit (cos²x - sin²x)/(cosx - sinx)
x→π/4
limit (cosx - sinx)(cosx + sinx)/(cosx - sinx)
x→π/4
limit (cosx + sinx)
x→π/4
= cosπ/4 + sinπ/4
= cos45º + sin45º
= 1/2 √2 + 1/2 √2
= √2