What is the limit as x approaches 0 of (sin(7x))/(sin(9x)) ?

The limit as x approaches 0 of (sin(7x))/(sin(9x)) is 7/9

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limit as x approaches 0 of (sin(7x))/(sin(9x))

x \to 0 lim (\frac{sin ( 7 x )}{sin ( 9 x )})

\frac{7}{9}

Decimal Notation

0.77777 \dots

Solution steps

x \to 0 lim (\frac{sin ( 7 x )}{sin ( 9 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 ( 7 x )}{sin ( 9 x )}) = \frac{7}{9}

x \to 0 + lim (\frac{sin ( 7 x )}{sin ( 9 x )}) = \frac{7}{9}

= \frac{7}{9}

\int 1 - tan^{2} (x) d x

(x^{3} + 4) e^{x}

f (x) = (1 - x) (x^{2} - 3) 2

x \to - 1 lim (x^{3})

\frac{\partial}{\partial x} (7 y)

What is the limit as x approaches 0 of (sin(7x))/(sin(9x)) ?
The limit as x approaches 0 of (sin(7x))/(sin(9x)) is 7/9