What is the limit as x approaches 0 of x+4/x ?

The limit as x approaches 0 of x+4/x is diverges

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limit as x approaches 0 of x+4/x

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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

x \to \frac{π}{2} lim (\frac{sec ( x )}{sec ^{2} ( 3 x )})

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

x \to 2 lim (x^{3} + 5 x^{2} - 5 x + 3)

x \to 0 lim (\frac{ln ( cos ( 3 x ) )}{ln ( cos ( 5 x ) )})

What is the limit as x approaches 0 of x+4/x ?
The limit as x approaches 0 of x+4/x is diverges