Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of log(x)*tan(x)
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Limit of tan(5*x)
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Limit of sin(x/3)
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Limit of 2*x/(1+x^2)
- Derivative of:
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log(x)*tan(x)
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Identical expressions
- log(x)*tan(x)
- logarithm of (x) multiply by tangent of (x)
- log(x)tan(x)
- logxtanx
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Similar expressions
- (1-cos(x)*log(x))^(tan(x)^(-2))
- log(x)^tan(x)
Limit of the function log(x)*tan(x)
The solution
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lim (log(x)*tan(x)) x->0+
$$\lim_{x \to 0^+}\left(\log{\left(x \right)} \tan{\left(x \right)}\right)$$
Limit(log(x)*tan(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
One‐sided limits
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lim (log(x)*tan(x)) x->0+
$$\lim_{x \to 0^+}\left(\log{\left(x \right)} \tan{\left(x \right)}\right)$$
0
$$0$$
= -0.00180426482816838
lim (log(x)*tan(x)) x->0-
$$\lim_{x \to 0^-}\left(\log{\left(x \right)} \tan{\left(x \right)}\right)$$
0
$$0$$
= (0.00189029691587908 - 0.000778839315952768j)
= (0.00189029691587908 - 0.000778839315952768j)
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\log{\left(x \right)} \tan{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\log{\left(x \right)} \tan{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(\log{\left(x \right)} \tan{\left(x \right)}\right)$$
More at x→oo
$$\lim_{x \to 1^-}\left(\log{\left(x \right)} \tan{\left(x \right)}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\log{\left(x \right)} \tan{\left(x \right)}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\log{\left(x \right)} \tan{\left(x \right)}\right)$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\log{\left(x \right)} \tan{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(\log{\left(x \right)} \tan{\left(x \right)}\right)$$
More at x→oo
$$\lim_{x \to 1^-}\left(\log{\left(x \right)} \tan{\left(x \right)}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\log{\left(x \right)} \tan{\left(x \right)}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\log{\left(x \right)} \tan{\left(x \right)}\right)$$
More at x→-oo
The graph