What is the limit as x approaches 0 of csc(x)-cot(x) ?

The limit as x approaches 0 of csc(x)-cot(x) is 0

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limit as x approaches 0 of csc(x)-cot(x)

x \to 0 lim (csc (x) - cot (x))

0

Solution steps

x \to 0 lim (csc (x) - cot (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 (csc (x) - cot (x)) = 0

x \to 0 + lim (csc (x) - cot (x)) = 0

= 0

\int 0.1 e^{- 0.1 x} d x

\frac{d y}{d t} = sin (3 t) - 2 y

x \to 9 + lim (\frac{5}{x - 9})

\int (5 + 3 x + 1) d x

3 sec (x)

What is the limit as x approaches 0 of csc(x)-cot(x) ?
The limit as x approaches 0 of csc(x)-cot(x) is 0