What is the limit as x approaches infinity of (2x)/7 ?

The limit as x approaches infinity of (2x)/7 is infinity

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limit as x approaches infinity of (2x)/7

x \to \infty lim (\frac{2 x}{7})

\infty

Solution steps

x \to \infty lim (\frac{2 x}{7})

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

= \frac{2}{7} \cdot x \to \infty lim (x)

Apply the common limit:

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

= \frac{2}{7} \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to - 8 lim (x)

x \to - 3 lim (\frac{2 x ^{2} + 5 x - 3}{x ^{2} - 9})

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

x \to \infty lim (10 x [ln (x + 9) - ln (x)])

x \to 5 lim (x^{2} - 12 x)

What is the limit as x approaches infinity of (2x)/7 ?
The limit as x approaches infinity of (2x)/7 is infinity