What is the limit as x approaches 0 of ((x+5))/(3x) ?

The limit as x approaches 0 of ((x+5))/(3x) is diverges

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limit as x approaches 0 of ((x+5))/(3x)

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

diverges

Solution steps

x \to 0 lim (\frac{x + 5}{3 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}{3 x}) = \infty

x \to 0 - lim (\frac{x + 5}{3 x}) = - \infty

= diverges

y = (t^{2} + 3) e^{t}

y = 3 + 4 x^{2} - 2 x^{3}

y^{^{''}} + 9 y = t sin (5 t)

\frac{d}{d x} (5 5 x - 4)

\int 5 e^{2 x + e^{2 x}} d x

What is the limit as x approaches 0 of ((x+5))/(3x) ?
The limit as x approaches 0 of ((x+5))/(3x) is diverges