Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+cos(7*x))/(-1+cos(3*x))
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Limit of (16+x^2+10*x)/(-6+x^2-x)
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Limit of 2-4*sqrt(x)-sqrt(2)/2
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Limit of (-1/2)^x
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Identical expressions
- (- one / two)^x
- ( minus 1 divide by 2) to the power of x
- ( minus one divide by two) to the power of x
- (-1/2)x
- -1/2x
- -1/2^x
- (-1 divide by 2)^x
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Similar expressions
- (1/2)^x
Limit of the function (-1/2)^x
The solution
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x lim -1/2 x->oo
$$\lim_{x \to \infty} \left(- \frac{1}{2}\right)^{x}$$
Limit((-1/2)^x, x, oo, dir='-')
The graph
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \left(- \frac{1}{2}\right)^{x}$$
$$\lim_{x \to 0^-} \left(- \frac{1}{2}\right)^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \left(- \frac{1}{2}\right)^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \left(- \frac{1}{2}\right)^{x} = - \frac{1}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \left(- \frac{1}{2}\right)^{x} = - \frac{1}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \left(- \frac{1}{2}\right)^{x}$$
More at x→-oo
$$\lim_{x \to 0^-} \left(- \frac{1}{2}\right)^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \left(- \frac{1}{2}\right)^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \left(- \frac{1}{2}\right)^{x} = - \frac{1}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \left(- \frac{1}{2}\right)^{x} = - \frac{1}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \left(- \frac{1}{2}\right)^{x}$$
More at x→-oo
The graph