Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((5+x^2-6*x)/(5+x^2-5*x))^(2+3*x)
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Limit of (2+x^2+3*x)/(-4+x^2)
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Limit of (1+x)^(2/3)-(-1+x)^(2/3)
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Limit of 1/3+x/3
- Derivative of:
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log(e)
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Identical expressions
- log(e)
- logarithm of (e)
- loge
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Similar expressions
- log(-5+x)/log(e^x-e^5)
- cos(x)*log(x-a)/log(e^x-e^a)
- asin(x)/(-1+log(e-x))
- log(e^x+x^2)/log(e^(2*x)+x^4)
- log(e-x)^cot(x)
Limit of the function log(e)
The solution
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lim log(e) x->oo
$$\lim_{x \to \infty} \log{\left(e \right)}$$
Limit(log(E), 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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \log{\left(e \right)} = 1$$
$$\lim_{x \to 0^-} \log{\left(e \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(e \right)} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \log{\left(e \right)} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(e \right)} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(e \right)} = 1$$
More at x→-oo
$$\lim_{x \to 0^-} \log{\left(e \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(e \right)} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \log{\left(e \right)} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(e \right)} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(e \right)} = 1$$
More at x→-oo