Mister Exam

Lang:

Limit of the function/ 5^(2+x)

Limit of the function 5^(2+x)

You have entered [src]

      2 + x
 lim 5     
x->oo

\lim_{x \to \infty} 5^{x + 2}

Limit(5^(2 + 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]

oo

\infty

Expand and simplify

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty} 5^{x + 2} = \infty

\lim_{x \to 0^-} 5^{x + 2} = 25

\lim_{x \to 0^+} 5^{x + 2} = 25

\lim_{x \to 1^-} 5^{x + 2} = 125

\lim_{x \to 1^+} 5^{x + 2} = 125

\lim_{x \to -\infty} 5^{x + 2} = 0

The graph