What is the limit as x approaches 0 of (sin(8x))/(sin(7x)) ?

The limit as x approaches 0 of (sin(8x))/(sin(7x)) is 8/7

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limit as x approaches 0 of (sin(8x))/(sin(7x))

x \to 0 lim (\frac{sin ( 8 x )}{sin ( 7 x )})

\frac{8}{7}

Decimal Notation

1.14285 \dots

Solution steps

x \to 0 lim (\frac{sin ( 8 x )}{sin ( 7 x )})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{sin ( 8 x )}{sin ( 7 x )}) = \frac{8}{7}

x \to 0 + lim (\frac{sin ( 8 x )}{sin ( 7 x )}) = \frac{8}{7}

= \frac{8}{7}

\frac{d}{d x} (x^{2} + y)

\frac{\partial}{\partial x} (arccos (\frac{y}{x}))

y^{^{'}} x^{2} - 18 = 4 x

\frac{d}{d x} (\frac{( 6 x ^{2} + 2 x + 8 )}{x})

\int_{0}^{1} \frac{30}{6 x ^{2} + 7 x + 1} d x

What is the limit as x approaches 0 of (sin(8x))/(sin(7x)) ?
The limit as x approaches 0 of (sin(8x))/(sin(7x)) is 8/7