Mister Exam

Limit of the function a^n

at
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src]
      n
 lim a 
n->oo  
limnan\lim_{n \to \infty} a^{n}
Limit(a^n, n, oo, dir='-')
Rapid solution [src]
None
None
Other limits n→0, -oo, +oo, 1
limnan\lim_{n \to \infty} a^{n}
limn0an=1\lim_{n \to 0^-} a^{n} = 1
More at n→0 from the left
limn0+an=1\lim_{n \to 0^+} a^{n} = 1
More at n→0 from the right
limn1an=a\lim_{n \to 1^-} a^{n} = a
More at n→1 from the left
limn1+an=a\lim_{n \to 1^+} a^{n} = a
More at n→1 from the right
limnan\lim_{n \to -\infty} a^{n}
More at n→-oo