Mister Exam

Lang:

Limit of the function/ (3/5)^x

Limit of the function (3/5)^x

You have entered [src]

        x
 lim 3/5 
x->oo

\lim_{x \to \infty} \left(\frac{3}{5}\right)^{x}

Limit((3/5)^x, x, oo, dir='-')

Lopital's rule

There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type

The graph

Plot the graph

Rapid solution [src]

0

Expand and simplify

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty} \left(\frac{3}{5}\right)^{x} = 0

\lim_{x \to 0^-} \left(\frac{3}{5}\right)^{x} = 1

\lim_{x \to 0^+} \left(\frac{3}{5}\right)^{x} = 1

\lim_{x \to 1^-} \left(\frac{3}{5}\right)^{x} = \frac{3}{5}

\lim_{x \to 1^+} \left(\frac{3}{5}\right)^{x} = \frac{3}{5}

\lim_{x \to -\infty} \left(\frac{3}{5}\right)^{x} = \infty

The graph