What is the limit as x approaches infinity of (2x)/3 ?

The limit as x approaches infinity of (2x)/3 is infinity

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limit as x approaches infinity of (2x)/3

x \to \infty lim (\frac{2 x}{3})

\infty

Solution steps

x \to \infty lim (\frac{2 x}{3})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= \frac{2}{3} \cdot x \to \infty lim (x)

Apply the common limit:

x \to \infty lim (x) = \infty

= \frac{2}{3} \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

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x \to 0 lim (\frac{csc ( - 6 x )}{csc ( 10 x )})

x \to 0 lim (\frac{ln ( 1 + 6 x )}{x})

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What is the limit as x approaches infinity of (2x)/3 ?
The limit as x approaches infinity of (2x)/3 is infinity