What is the limit as x approaches infinity of 3/(2x) ?

The limit as x approaches infinity of 3/(2x) is 0

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limit as x approaches infinity of 3/(2x)

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

0

Solution steps

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

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

= \frac{3}{2} \cdot x \to \infty lim (\frac{1}{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{3}{2} \cdot \frac{lim _{x \to \infty} ( 1 )}{lim _{x \to \infty} ( x )}

x \to \infty lim (1) = 1

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

= \frac{3}{2} \cdot \frac{1}{\infty}

Simplify

\frac{3}{2} \cdot \frac{1}{\infty} : 0

= 0

\frac{d}{d x} (a x + \frac{a}{a x})

\frac{d}{d x} (44 (2 x^{3} - 5)^{\frac{6}{5}})

\frac{d}{d x} (x^{3} os (x))

n = 7 \sum \infty \frac{n ^{2}}{e ^{n}}

\frac{d}{d x} (\frac{1}{x ^{3}} - \frac{1}{x} + x^{2})

What is the limit as x approaches infinity of 3/(2x) ?
The limit as x approaches infinity of 3/(2x) is 0