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

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

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limit as x approaches 0 of ((sin(5x)))/(sin(4x))

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

\frac{5}{4}

Decimal Notation

1.25

Solution steps

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

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

= \frac{5}{4}

x \to 6 - lim (\frac{x - [ x ]}{x - 6})

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

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

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

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

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