Question

lim sin^2 *x/ 2x as x approaches 0

Answer 1

\(\bf {\color{red}{ \cfrac{sin(x)}{x}}}=1\qquad sin(0)=0\\ \quad \\ \quad \\
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lim_{x\to 0}\quad \cfrac{sin^2(x)}{2x}\\ \quad \\
\cfrac{sin^2(x)}{2x}\implies \cfrac{sin(x)}{2}\cdot {\color{red}{ \cfrac{sin(x)}{x}}}\)