What is the limit as x approaches 0 of 4csc(x)-4/x ?

The limit as x approaches 0 of 4csc(x)-4/x is 0

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limit as x approaches 0 of 4csc(x)-4/x

x \to 0 lim (4 csc (x) - \frac{4}{x})

0

Solution steps

x \to 0 lim (4 csc (x) - \frac{4}{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 (4 csc (x) - \frac{4}{x}) = 0

x \to 0 + lim (4 csc (x) - \frac{4}{x}) = 0

= 0

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x \to 0 lim ((1 + sin (x))^{x})

x \to 2 + lim (\frac{( x )}{x ^{2} - 4})

n \to \infty lim (- 5)

x \to - 6 lim (x^{2} + 7 x^{- 2})

What is the limit as x approaches 0 of 4csc(x)-4/x ?
The limit as x approaches 0 of 4csc(x)-4/x is 0