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

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

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

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

2

Solution steps

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

Cancel the common factor:

x

= x \to \infty lim (2)

x \to a lim c = c

= 2

\frac{d y}{d x}, y = x^{3} + 2

x \to \infty lim (e^{0})

\frac{d}{d x} (9 x^{2} + 6 x - 2)

x \to 1 lim (\frac{x + 2}{1 - x})

\frac{d}{d x} (x^{10} e^{x} + 10)

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