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3^n*3^(1-n)
Limit of the function/ 3^n*3^(1-n)

Limit of the function 3^n*3^(1-n)

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You have entered [src] 
     / n  1 - n\
 lim \3 *3     /
n->oo
lim⁡n→∞(3n31−n)\lim_{n \to \infty}\left(3^{n} 3^{1 - n}\right) 
Limit(3^n*3^(1 - n), n, oo, dir='-')
The graph
-0.010-0.008-0.006-0.004-0.0020.0100.0000.0020.0040.0060.0080.00
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Rapid solution [src] 
3
33
Expand and simplify
Other limits n→0, -oo, +oo, 1
lim⁡n→∞(3n31−n)=3\lim_{n \to \infty}\left(3^{n} 3^{1 - n}\right) = 3
lim⁡n→0−(3n31−n)=3\lim_{n \to 0^-}\left(3^{n} 3^{1 - n}\right) = 3
More at n→0 from the left
lim⁡n→0+(3n31−n)=3\lim_{n \to 0^+}\left(3^{n} 3^{1 - n}\right) = 3
More at n→0 from the right
lim⁡n→1−(3n31−n)=3\lim_{n \to 1^-}\left(3^{n} 3^{1 - n}\right) = 3
More at n→1 from the left
lim⁡n→1+(3n31−n)=3\lim_{n \to 1^+}\left(3^{n} 3^{1 - n}\right) = 3
More at n→1 from the right
lim⁡n→−∞(3n31−n)=3\lim_{n \to -\infty}\left(3^{n} 3^{1 - n}\right) = 3
More at n→-oo
The graph
Limit of the function 3^n*3^(1-n)
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