What is the limit as x approaches 0 of sin(5x)csc(3x) ?

The limit as x approaches 0 of sin(5x)csc(3x) is 5/3

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limit as x approaches 0 of sin(5x)csc(3x)

x \to 0 lim (sin (5 x) csc (3 x))

\frac{5}{3}

Decimal Notation

1.66666 \dots

Solution steps

x \to 0 lim (sin (5 x) csc (3 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 (3 x)) = \frac{5}{3}

x \to 0 + lim (sin (5 x) csc (3 x)) = \frac{5}{3}

= \frac{5}{3}

0.02 (1 + 3 cos (t))

\frac{d y}{d t} = 25 - 10 t - 2 y

2 (x + 1), 3 (x + 1), x = 3

\int_{- \frac{π}{6}}^{0} 6 sec^{3} (x) d x

\frac{d}{d x} (- sin (x) cos (x))

What is the limit as x approaches 0 of sin(5x)csc(3x) ?
The limit as x approaches 0 of sin(5x)csc(3x) is 5/3