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

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

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limit as x approaches infinity of x/a

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

\infty

Solution steps

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

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

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

Apply the common limit:

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

= \frac{1}{a} \cdot \infty

Simplify

\frac{1}{a} \cdot \infty : \infty

= \infty

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

x \to 0 lim (\frac{e ^{8 x} - e ^{- 4 x}}{ln ( 1 + x )})

n \to \infty lim (\frac{2 n + 1}{1 - 3 n})

x \to 0 lim (\frac{ln ( 10 x + 1 )}{x})

x \to 0 lim (1 - \frac{tan ( 3 x )}{x})

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