Lim Cos5x-cos3x = x-0 4x''

Lim Cos5x-cos3x =
x-0 4x”

Jawaban Terkonfirmasi

$displaystyle lim_{xto0}frac{cos5x-cos3x}{4x^2}=lim_{xto0}frac{-2sinfrac12(5x+3x)sinfrac12(5x-3x)}{4x^2}\lim_{xto0}frac{cos5x-cos3x}{4x^2}=lim_{xto0}frac{-2sinfrac12(8x)sinfrac12(2x)}{4x^2}\lim_{xto0}frac{cos5x-cos3x}{4x^2}=lim_{xto0}frac{-2sin4xsin x}{4x^2}\lim_{xto0}frac{cos5x-cos3x}{4x^2}=lim_{xto0}frac{-2cdot4xcdot x}{4x^2}\boxed{boxed{lim_{xto0}frac{cos5x-cos3x}{4x^2}=-2}}$