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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

= \frac{sin ( 4 \cdot 0 )}{cos ( 5 \cdot 0 )}

Simplify

\frac{sin ( 4 \cdot 0 )}{cos ( 5 \cdot 0 )} : 0

= 0

\frac{d}{d x} (- 3 x^{3} + 2 x^{2} + 5 x - 2)

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

\int \frac{x ^{2} + x + 1}{x ^{3} + 2 x ^{2}} d x

\frac{\partial}{\partial y} (x e^{x} cos (y))

f (x) = 2 sin (2 x) - ln (3 x + 1)

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