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

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

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

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

diverges

Solution steps

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

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

Undefined

= diverges

f (x) = x^{2} (\frac{2}{x ^{2}} + \frac{5}{x ^{3}})

\int \frac{x ^{2} - 64}{x ^{4}} d x

\int_{0}^{4} \frac{5}{6 x ^{2} + 7 x + 1} d x

\frac{d y}{d x} + 8 y = 11

x = 0, x = 1, y = 6 + x^{4}

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