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

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

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

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

0

Solution steps

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

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

then

x \to a lim f (x) = L

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

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

= 0

x \to 0 lim (x ln (6 x))

x \to 0 lim (\frac{cot ( 5 x )}{x})

x \to 2 lim (3^{2 x - 1})

x \to 1 lim (- ln (1 - x))

x \to 0 lim (x ln (tan (x)))

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