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

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

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

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

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

Decimal Notation

0.00093 \dots

Solution steps

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

Plug in the value

x = 3

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

r \to 1 lim \frac{( r ^{2} + 3 r - 2 ) ^{3}}{( 5 r - 3 ) ^{2}}

x \to 0 lim ((1 + \frac{3}{x ^{2}}) x)

x \to - 4 lim ((10 x + 36)^{3})

x \to - 2 lim (3 x^{2} - 2 x + 7)

x \to 0 lim (\frac{1}{2.5})

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