What is the limit as x approaches infinity of x/θ ?

The limit as x approaches infinity of x/θ is infinity

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limit as x approaches infinity of x/θ

x \to \infty lim (\frac{x}{θ})

\infty

Solution steps

x \to \infty lim (\frac{x}{θ})

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

= \frac{1}{θ} \cdot x \to \infty lim (x)

Apply the common limit:

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

= \frac{1}{θ} \cdot \infty

Simplify

\frac{1}{θ} \cdot \infty : \infty

= \infty

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

x \to - 1 - lim (\frac{x ^{3}}{x ^{2} - 1})

x \to 1 - lim (ln (x) \cdot ln (1 - x))

x \to 3 lim (x^{2} - x)

z \to 2 lim (\frac{z ^{3} - 8}{z - 2})

What is the limit as x approaches infinity of x/θ ?
The limit as x approaches infinity of x/θ is infinity