Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+2*n)/|-1+2*n|
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Limit of (x^2-3*x)/(-8+x^2)
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Limit of (1+5*x)*(-1+5*x)
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Limit of (5-3*x^2-2*x)/(3+x+x^2)
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Identical expressions
- two ^x* two ^(- one -x)
- 2 to the power of x multiply by 2 to the power of ( minus 1 minus x)
- two to the power of x multiply by two to the power of ( minus one minus x)
- 2x*2(-1-x)
- 2x*2-1-x
- 2^x2^(-1-x)
- 2x2(-1-x)
- 2x2-1-x
- 2^x2^-1-x
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Similar expressions
- 2^x*2^(1-x)
- 2^x*2^(-1+x)
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What you mean?
- 2^x*2^(-1 - x)
- 2^((x*2)^(-1 - x))
- 2^((x*2)^(-1 - x))
You entered:
2^x*2^(-1-x)
What you mean?
Limit of the function 2^x*2^(-1-x)
The solution
You have entered
[src]
/ x -1 - x\ lim \2 *2 / x->oo
$$\lim_{x \to \infty}\left(2^{x} 2^{- x - 1}\right)$$
Limit(2^x*2^(-1 - 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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(2^{x} 2^{- x - 1}\right) = \frac{1}{2}$$
$$\lim_{x \to 0^-}\left(2^{x} 2^{- x - 1}\right) = \frac{1}{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2^{x} 2^{- x - 1}\right) = \frac{1}{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2^{x} 2^{- x - 1}\right) = \frac{1}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2^{x} 2^{- x - 1}\right) = \frac{1}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2^{x} 2^{- x - 1}\right) = \frac{1}{2}$$
More at x→-oo
$$\lim_{x \to 0^-}\left(2^{x} 2^{- x - 1}\right) = \frac{1}{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2^{x} 2^{- x - 1}\right) = \frac{1}{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2^{x} 2^{- x - 1}\right) = \frac{1}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2^{x} 2^{- x - 1}\right) = \frac{1}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2^{x} 2^{- x - 1}\right) = \frac{1}{2}$$
More at x→-oo