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2^n*2^(-1-n)
Limit of the function/ 2^n*2^(-1-n)

Limit of the function 2^n*2^(-1-n)

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     / n  -1 - n\
 lim \2 *2      /
n->oo
lim⁡n→∞(2n2−n−1)\lim_{n \to \infty}\left(2^{n} 2^{- n - 1}\right) 
Limit(2^n*2^(-1 - n), n, oo, dir='-')
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-0.010-0.008-0.006-0.004-0.0020.0100.0000.0020.0040.0060.0080.00
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Rapid solution [src] 
1/2
12\frac{1}{2}
Expand and simplify
Other limits n→0, -oo, +oo, 1
lim⁡n→∞(2n2−n−1)=12\lim_{n \to \infty}\left(2^{n} 2^{- n - 1}\right) = \frac{1}{2}
lim⁡n→0−(2n2−n−1)=12\lim_{n \to 0^-}\left(2^{n} 2^{- n - 1}\right) = \frac{1}{2}
More at n→0 from the left
lim⁡n→0+(2n2−n−1)=12\lim_{n \to 0^+}\left(2^{n} 2^{- n - 1}\right) = \frac{1}{2}
More at n→0 from the right
lim⁡n→1−(2n2−n−1)=12\lim_{n \to 1^-}\left(2^{n} 2^{- n - 1}\right) = \frac{1}{2}
More at n→1 from the left
lim⁡n→1+(2n2−n−1)=12\lim_{n \to 1^+}\left(2^{n} 2^{- n - 1}\right) = \frac{1}{2}
More at n→1 from the right
lim⁡n→−∞(2n2−n−1)=12\lim_{n \to -\infty}\left(2^{n} 2^{- n - 1}\right) = \frac{1}{2}
More at n→-oo
The graph
Limit of the function 2^n*2^(-1-n)
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