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(1/2)^x

Limit of the function (1/2)^x

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      -x
 lim 2  
x->oo   
limx(12)x\lim_{x \to \infty} \left(\frac{1}{2}\right)^{x}
Limit((1/2)^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
02468-8-6-4-2-101001000
Other limits x→0, -oo, +oo, 1
limx(12)x=0\lim_{x \to \infty} \left(\frac{1}{2}\right)^{x} = 0
limx0(12)x=1\lim_{x \to 0^-} \left(\frac{1}{2}\right)^{x} = 1
More at x→0 from the left
limx0+(12)x=1\lim_{x \to 0^+} \left(\frac{1}{2}\right)^{x} = 1
More at x→0 from the right
limx1(12)x=12\lim_{x \to 1^-} \left(\frac{1}{2}\right)^{x} = \frac{1}{2}
More at x→1 from the left
limx1+(12)x=12\lim_{x \to 1^+} \left(\frac{1}{2}\right)^{x} = \frac{1}{2}
More at x→1 from the right
limx(12)x=\lim_{x \to -\infty} \left(\frac{1}{2}\right)^{x} = \infty
More at x→-oo
Rapid solution [src]
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The graph
Limit of the function (1/2)^x