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

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

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limit as x approaches 0 of (|2x|)/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}) = 2

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

= diverges

\frac{\partial}{\partial x} (\frac{1}{t ^{2} + 1})

y = \frac{2}{x ^{2}}, (2, \frac{2}{49})

x = y^{2} - 6 y, x = 3 y - y^{2}

\int x^{2} cos (n x π) d x

\int \frac{1}{y 5 y ^{2} - 3} d y

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