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

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

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

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

0

Solution steps

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

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

then

x \to a lim f (x) = L

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

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

= 0

x \to - 10 lim (\frac{x ^{2} + 25}{x})

x \to 0 lim (- \frac{sin ( x )}{x})

x \to a lim (ln (1))

x \to - \infty lim (x^{5} e^{x})

x \to - 3 lim (\frac{1}{( x + 3 ) ^{5}})

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