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 (\frac{x + 4}{x})

diverges

Solution steps

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

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

= diverges

\int \frac{3}{( x + 5 ) ^{2} + 4} d x

\frac{d}{d x} (e sin (x))

(\frac{1}{y ^{2}} - \frac{3}{y ^{4}}) (y + 9 y^{3})

h \to 0 lim (\frac{( x + h ) ^{2} - 9}{h})

x^{3}, - x, 1

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