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Write the Value of Lim X → 0 Sin X ∘ X . - Mathematics

Answer in Brief

Write the value of \[\lim_{x \to 0} \frac{\sin x^\circ}{x} .\]

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Solution

\[\lim_{x \to 0} \left( \frac{\sin x°}{x} \right)\]
\[ = \lim_{x \to 0} \left( \frac{\sin \left( \frac{\pi x}{180} \right)}{\frac{\pi}{180}x} \right) \times \frac{\pi}{180}\]
\[ = 1 \times \frac{\pi}{180}\]
\[ = \frac{\pi}{180}\] 

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