Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-5+7*n)/(2+n)
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Limit of (-2+x)/(-4+x)
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Limit of (-16+x^2-6*x)/(-2+x+x^2)
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Limit of (2+x^2-5*x)/(5+x^2+3*x^3)
- Graphing y =:
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log(-x)
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Identical expressions
- log(-x)
- logarithm of ( minus x)
- log-x
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Similar expressions
- log(x)
- log(-x^2-2*x)/((1+x)*log(2+x))
- asin(2*x)/(-1+log(-x+exp(x)))
- (-log(-x^3+5*x)+log(x^2+5*x))/(acot(6*x)*sin(3*x))
- log(-x+2*x^3)/log(x^3+x^4-x)
Limit of the function log(-x)
The solution
You have entered
[src]
lim log(-x) x->0+
$$\lim_{x \to 0^+} \log{\left(- x \right)}$$
Limit(log(-x), x, 0)
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
$$\lim_{x \to 0^-} \log{\left(- x \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(- x \right)} = -\infty$$
$$\lim_{x \to \infty} \log{\left(- x \right)} = \infty$$
More at x→oo
$$\lim_{x \to 1^-} \log{\left(- x \right)} = i \pi$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(- x \right)} = i \pi$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(- x \right)} = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(- x \right)} = -\infty$$
$$\lim_{x \to \infty} \log{\left(- x \right)} = \infty$$
More at x→oo
$$\lim_{x \to 1^-} \log{\left(- x \right)} = i \pi$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(- x \right)} = i \pi$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(- x \right)} = \infty$$
More at x→-oo
One‐sided limits
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lim log(-x) x->0+
$$\lim_{x \to 0^+} \log{\left(- x \right)}$$
-oo
$$-\infty$$
= (-8.8558500321934 + 3.14159265358979j)
lim log(-x) x->0-
$$\lim_{x \to 0^-} \log{\left(- x \right)}$$
-oo
$$-\infty$$
= -8.8558500321934
= -8.8558500321934
Numerical answer
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(-8.8558500321934 + 3.14159265358979j)
(-8.8558500321934 + 3.14159265358979j)
The graph