AP ICET 2014

Question 134

$$\lim_{x \rightarrow 0}\frac{\tan x}{x^o} =$$

Solution

Converting x degrees to radian. $$180^o=\pi^c\ \ or\ x^o=\frac{\pi}{180}x^c\ \ $$

$$Now\ \lim\ x\longrightarrow\ 0\ \frac{\tan x}{x}=1\ $$

Hence $$Now\ \lim\ x\longrightarrow\ 0\ \frac{\tan x}{x}\left(\frac{180}{\pi\ }\ \right)=\frac{180}{\pi\ }$$


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