What is the limit as x approaches 0 of csc(x)+1/x ?

The limit as x approaches 0 of csc(x)+1/x is diverges

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limit as x approaches 0 of csc(x)+1/x

x \to 0 lim (csc (x) + \frac{1}{x})

diverges

Solution steps

x \to 0 lim (csc (x) + \frac{1}{x})

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

then the limit does not exist

x \to 0 + lim (csc (x) + \frac{1}{x}) = \infty

x \to 0 - lim (csc (x) + \frac{1}{x}) = - \infty

= diverges

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

x \to 3 - lim (\frac{3 x}{x - 3})

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

x \to 0 + lim (\frac{x}{e ^{- \frac{2}{x}}})

x \to 1 lim (4 x^{2} - 13 x + 12)

What is the limit as x approaches 0 of csc(x)+1/x ?
The limit as x approaches 0 of csc(x)+1/x is diverges