Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (cos(x)+sin(x))^(1/x)
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Limit of (2/3)^x
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Limit of (3^n+4^n)/(3^(1+n)+4^(1+n))
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Limit of (1+n)*(4+n)/(n*(3+n))
- Integral of d{x}:
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sqrt(-x)
- Graphing y =:
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sqrt(-x)
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Identical expressions
- sqrt(-x)
- square root of ( minus x)
- √(-x)
- sqrt-x
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Similar expressions
- sqrt(x^2+2*x)-sqrt(-x+2*x^2)
- sqrt(-x^2+3*x^3)
- sqrt(x+2*x^2)-sqrt(-x+2*x^2)
- sqrt(x)
Limit of the function sqrt(-x)
The solution
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \sqrt{- x} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{- x} = 0$$
$$\lim_{x \to \infty} \sqrt{- x} = \infty i$$
More at x→oo
$$\lim_{x \to 1^-} \sqrt{- x} = i$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{- x} = i$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{- x} = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{- x} = 0$$
$$\lim_{x \to \infty} \sqrt{- x} = \infty i$$
More at x→oo
$$\lim_{x \to 1^-} \sqrt{- x} = i$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{- x} = i$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{- x} = \infty$$
More at x→-oo
One‐sided limits
[src]
____ lim \/ -x x->0+
$$\lim_{x \to 0^+} \sqrt{- x}$$
0
$$0$$
= (0.0 + 0.0138330115128432j)
____ lim \/ -x x->0-
$$\lim_{x \to 0^-} \sqrt{- x}$$
0
$$0$$
= 0.0138330115128432
= 0.0138330115128432
The graph