Mister Exam
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How to use it?
- Limit of the function:
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Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
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Limit of (-tan(2*x)+sin(2*x))/x^3
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Limit of 3/n^4
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Limit of (1-cos(x)^2)/(x^2*sin(x)^2)
- Derivative of:
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log(tan(x))
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Identical expressions
- log(tan(x))
- logarithm of ( tangent of (x))
- logtanx
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Similar expressions
- log(tan(x/2))
- log(tan(x+pi/4))/sin(3*x)
Limit of the function log(tan(x))
The solution
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[src]
lim log(tan(x)) x->oo
$$\lim_{x \to \infty} \log{\left(\tan{\left(x \right)} \right)}$$
Limit(log(tan(x)), 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
$$\lim_{x \to \infty} \log{\left(\tan{\left(x \right)} \right)}$$
$$\lim_{x \to 0^-} \log{\left(\tan{\left(x \right)} \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(\tan{\left(x \right)} \right)} = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \log{\left(\tan{\left(x \right)} \right)} = \log{\left(\tan{\left(1 \right)} \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(\tan{\left(x \right)} \right)} = \log{\left(\tan{\left(1 \right)} \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(\tan{\left(x \right)} \right)}$$
More at x→-oo
$$\lim_{x \to 0^-} \log{\left(\tan{\left(x \right)} \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(\tan{\left(x \right)} \right)} = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \log{\left(\tan{\left(x \right)} \right)} = \log{\left(\tan{\left(1 \right)} \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(\tan{\left(x \right)} \right)} = \log{\left(\tan{\left(1 \right)} \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(\tan{\left(x \right)} \right)}$$
More at x→-oo
Rapid solution
[src]
lim log(tan(x)) x->oo
$$\lim_{x \to \infty} \log{\left(\tan{\left(x \right)} \right)}$$
The graph