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Question Number 168464 by Altaf180 last updated on 11/Apr/22

$$li\underset{x\to 0}{m}\frac{1-cos7x}{x^2}=?$$

Commented by safojontoshtemirov last updated on 11/Apr/22

$$\underset{x\to 0}{\lim 2}\left({sin}^2\frac{7x}{2}\right)/x^2=\underset{x\to 0}{\lim 2}\cdot \frac{49}{4}{\left(\frac{sin\frac{7x}{2}}{\frac{7x}{2}}\right)}^2=$$$$=\frac{49}{2}$$

Answered by malwan last updated on 14/Apr/22

$$\underset{x\to 0}{lim}\frac{1-\{1-\frac{{\left(7x\right)}^2}{2!}+...\}}{x^2}=\frac{49}{2}$$

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