What is the limit as x approaches 0 of sin(5x)csc(9x) ?

The limit as x approaches 0 of sin(5x)csc(9x) is 5/9

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limit as x approaches 0 of sin(5x)csc(9x)

x \to 0 lim (sin (5 x) csc (9 x))

\frac{5}{9}

Decimal Notation

0.55555 \dots

Solution steps

x \to 0 lim (sin (5 x) csc (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 (sin (5 x) csc (9 x)) = \frac{5}{9}

x \to 0 + lim (sin (5 x) csc (9 x)) = \frac{5}{9}

= \frac{5}{9}

\frac{( s + 1 ) ^{3}}{s ^{4}}

y = \frac{e ^{\frac{x}{2}}}{x + 1}

\frac{1}{x ^{6}}

\int_{- \infty}^{0} x e^{3 x} d x

\frac{d}{d x} (2 (x)^{3} ln (x))

What is the limit as x approaches 0 of sin(5x)csc(9x) ?
The limit as x approaches 0 of sin(5x)csc(9x) is 5/9