What is the limit as x approaches 0 of (sin(10x))/(sin(8x)) ?

The limit as x approaches 0 of (sin(10x))/(sin(8x)) is 5/4

Popular >

limit as x approaches 0 of (sin(10x))/(sin(8x))

x \to 0 lim (\frac{sin ( 10 x )}{sin ( 8 x )})

\frac{5}{4}

Decimal

1.25

Solution steps

x \to 0 lim (\frac{sin ( 10 x )}{sin ( 8 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 ( 10 x )}{sin ( 8 x )}) = \frac{5}{4}

x \to 0 + lim (\frac{sin ( 10 x )}{sin ( 8 x )}) = \frac{5}{4}

= \frac{5}{4}

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

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

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

x \to \infty lim (x \frac{x}{x + 1})

x \to \infty lim (\frac{e ^{x}}{ln ( x ) + 2})

What is the limit as x approaches 0 of (sin(10x))/(sin(8x)) ?
The limit as x approaches 0 of (sin(10x))/(sin(8x)) is 5/4