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

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

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

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

2

Solution steps

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

Cancel the common factor:

x

= x \to 0 lim (2)

x \to a lim c = c

= 2

x \to - 4 - lim (\frac{2}{x ^{2} - 16})

\frac{d y}{d x} = \frac{( e ^{x} - e ^{- x} )}{3 + y}

\int \frac{2 x}{( x + 1 ) ^{2}} d x

g (t) = t^{3} + 3 t

5 e^{x} cos (x)

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