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

The limit as x approaches infinity of 2/(2x) is 0

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

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

0

Solution steps

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

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

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

x \to \infty lim (2) = 2

x \to \infty lim (2 x) = \infty

= \frac{2}{\infty}

Apply Infinity Property:

\frac{c}{\infty} = 0

= 0

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

x \to 0 lim (\frac{( cos ( x ) - cos ( 3 x ) )}{x ^{2}})

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

x \to \infty lim (x (e^{\frac{1}{x} - 1}))

x \to 1 lim (sin (x - 1))

What is the limit as x approaches infinity of 2/(2x) ?
The limit as x approaches infinity of 2/(2x) is 0