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

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

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

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

diverges

Solution steps

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

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

= diverges

sec (3 x)

\frac{x ^{2} + 1}{x + 4}

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\int \frac{1}{θ ^{2}} cos (\frac{1}{θ}) d θ

\frac{\partial}{\partial x} (e^{s i n (2 x)})

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