Задача 67113 lim (x-0) 1-cos10x/1-cos4x...

637e5822839774251bfc1aaf

23.11.2022 20:29:06

lim (x-0) 1-cos10x/1-cos4x

5f3ea7e3faf909182968ddd9

23.11.2022 20:34:42

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1-cos α =2sin^2( α /2)

[m]=lim_{x → 0}\frac{2sin^25x}{2sin^22x}=lim_{x → 0}(\frac{sin5x}{sin2x})^2=(\frac{5}{2})^2=\frac{25}{4}[/m]