What is the limit as x approaches 3 of (sin^2(x))/x ?

The limit as x approaches 3 of (sin^2(x))/x is (sin^2(3))/3

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limit as x approaches 3 of (sin^2(x))/x

x \to 3 lim (\frac{sin ^{2} ( x )}{x})

\frac{sin ^{2} ( 3 )}{3}

Solution steps

x \to 3 lim (\frac{sin ^{2} ( x )}{x})

Plug in the value

x = 3

= \frac{sin ^{2} ( 3 )}{3}

x \to 6 lim (\frac{6 x - 36}{x - 6})

x \to 0 lim (\frac{( 6 ^{x} - 1 )}{x})

x \to 0 lim ((1 + x)^{- \frac{2}{x}})

x \to 0 lim (cos^{\frac{3}{x}} (2 x))

x \to - 3 - lim (\frac{3 x}{9 - x ^{2}})

What is the limit as x approaches 3 of (sin^2(x))/x ?
The limit as x approaches 3 of (sin^2(x))/x is (sin^2(3))/3