What is the limit as t approaches infinity of 1/(5t) ?

The limit as t approaches infinity of 1/(5t) is 0

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limit as t approaches infinity of 1/(5t)

t \to \infty lim (\frac{1}{5 t})

0

Solution steps

t \to \infty lim (\frac{1}{5 t})

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

= \frac{1}{5} \cdot t \to \infty lim (\frac{1}{t})

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{1}{5} \cdot \frac{lim _{t \to \infty} ( 1 )}{lim _{t \to \infty} ( t )}

t \to \infty lim (1) = 1

t \to \infty lim (t) = \infty

= \frac{1}{5} \cdot \frac{1}{\infty}

Simplify

\frac{1}{5} \cdot \frac{1}{\infty} : 0

= 0

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What is the limit as t approaches infinity of 1/(5t) ?
The limit as t approaches infinity of 1/(5t) is 0