Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
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Limit of (-2+x)/(-2+x^2-x)
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Limit of cos(5*x)*sin(2*x)/tan(x)
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Limit of 3*sin(x)^2/(4*x)
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Limit of log(1+e^x)
- Integral of d{x}:
- log(1-x^2)
- Derivative of:
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log(1-x^2)
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Identical expressions
- log(one -x^ two)
- logarithm of (1 minus x squared )
- logarithm of (one minus x to the power of two)
- log(1-x2)
- log1-x2
- log(1-x²)
- log(1-x to the power of 2)
- log1-x^2
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Similar expressions
- log(1+x^2)
Limit of the function log(1-x^2)
The solution
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/ 2\ lim log\1 - x / x->oo
$$\lim_{x \to \infty} \log{\left(1 - x^{2} \right)}$$
Limit(log(1 - x^2), 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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \log{\left(1 - x^{2} \right)} = \infty$$
$$\lim_{x \to 0^-} \log{\left(1 - x^{2} \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(1 - x^{2} \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \log{\left(1 - x^{2} \right)} = -\infty$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(1 - x^{2} \right)} = -\infty$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(1 - x^{2} \right)} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} \log{\left(1 - x^{2} \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(1 - x^{2} \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \log{\left(1 - x^{2} \right)} = -\infty$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(1 - x^{2} \right)} = -\infty$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(1 - x^{2} \right)} = \infty$$
More at x→-oo
The graph