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

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

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

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

0

Solution steps

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

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

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

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

= 0

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

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

x \to - 1 + lim (\frac{1}{1 - x ^{2}})

x \to 63 lim (\frac{x + 1 - 8}{x - 63})

x \to 1 + lim (\frac{1}{tan ( x - 1 )})

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