What is the limit as x approaches 0 of (2+x)/x ?

The limit as x approaches 0 of (2+x)/x is diverges

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limit as x approaches 0 of (2+x)/x

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

diverges

Solution steps

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

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

then the limit does not exist

x \to 0 + lim (\frac{2 + x}{x}) = \infty

x \to 0 - lim (\frac{2 + x}{x}) = - \infty

= diverges

x \to 0 lim (3 x + 6)

x \to \infty lim (\frac{x + 7}{7 + 7 ^{x + 1} ( x + 6 )})

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

x \to 2 lim (3 x^{2} - 6 x + 8)

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

What is the limit as x approaches 0 of (2+x)/x ?
The limit as x approaches 0 of (2+x)/x is diverges