Question

nilai dari lim x->π/4 1-sin²x/cosx-sinx adalah

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Answer 1

Jawaban:

Lim (x-> pi/4) ( 1 - 2 sin^2 x) / (cos x - sin x)

Lim(x->pi/4) ( cos^2 x - sin^2 x) / (cos x - sin x)

lim(x-> pi/4) (cos x - sin x)(cos x + sin x) / (cosx - sin x)

lim(x->pi/4) = cos x + sin x

= cos pi/4 + sin pi/4

= 1/2 √2 + 1/2 √2

= √2