What is the limit as x approaches infinity of (3x)/5 ?

The limit as x approaches infinity of (3x)/5 is infinity

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limit as x approaches infinity of (3x)/5

x \to \infty lim (\frac{3 x}{5})

\infty

Solution steps

x \to \infty lim (\frac{3 x}{5})

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

= \frac{3}{5} \cdot x \to \infty lim (x)

Apply the common limit:

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

= \frac{3}{5} \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

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What is the limit as x approaches infinity of (3x)/5 ?
The limit as x approaches infinity of (3x)/5 is infinity