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

The limit as x approaches 0 of 5/x is diverges

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limit as x approaches 0 of 5/x

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

diverges

Solution steps

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

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

= diverges

\frac{d y}{d x} + 5 e^{x + y} = 0

\int_{1}^{2} (2 x^{2}) - (2 x + 6) d x

\frac{x ^{2} - 1}{x ^{2} + x + 1} (1)

\int_{- \frac{π}{4}}^{\frac{π}{4}} x^{2} d x

\int \frac{1}{9 x ^{2} - 6 x + 5} d x

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