What is the limit as x approaches 0 of (x+5)/x ?

The limit as x approaches 0 of (x+5)/x is diverges

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limit as x approaches 0 of (x+5)/x

x \to 0 lim (\frac{x + 5}{x})

diverges

Solution steps

x \to 0 lim (\frac{x + 5}{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{x + 5}{x}) = \infty

x \to 0 - lim (\frac{x + 5}{x}) = - \infty

= diverges

\frac{\partial}{\partial x} (3 x^{3} - y^{2} + 4 x y)

y^{^{''}} + y^{^{'}} + y = t + e^{2 t}

y^{^{'}} + 2 y = 1 + e^{3 x}

4 x, x, x^{3}

\frac{\partial}{\partial x} ((x^{2} + 3 y^{2})^{7})

What is the limit as x approaches 0 of (x+5)/x ?
The limit as x approaches 0 of (x+5)/x is diverges