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log(x)*tan(x)
Limit of the function/ log(x)*tan(x)

Limit of the function log(x)*tan(x)

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You have entered [src] 
 lim (log(x)*tan(x))
x->0+
lim⁡x→0+(log⁡(x)tan⁡(x))\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
02468-8-6-4-2-1010-100100
Plot the graph
One‐sided limits [src] 
 lim (log(x)*tan(x))
x->0+
lim⁡x→0+(log⁡(x)tan⁡(x))\lim_{x \to 0^+}\left(\log{\left(x \right)} \tan{\left(x \right)}\right) 
0
00 
= -0.00180426482816838
 lim (log(x)*tan(x))
x->0-
lim⁡x→0−(log⁡(x)tan⁡(x))\lim_{x \to 0^-}\left(\log{\left(x \right)} \tan{\left(x \right)}\right) 
0
00 
= (0.00189029691587908 - 0.000778839315952768j)
= (0.00189029691587908 - 0.000778839315952768j)
Rapid solution [src] 
0
00
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→0−(log⁡(x)tan⁡(x))=0\lim_{x \to 0^-}\left(\log{\left(x \right)} \tan{\left(x \right)}\right) = 0
More at x→0 from the left
lim⁡x→0+(log⁡(x)tan⁡(x))=0\lim_{x \to 0^+}\left(\log{\left(x \right)} \tan{\left(x \right)}\right) = 0
lim⁡x→∞(log⁡(x)tan⁡(x))\lim_{x \to \infty}\left(\log{\left(x \right)} \tan{\left(x \right)}\right)
More at x→oo
lim⁡x→1−(log⁡(x)tan⁡(x))=0\lim_{x \to 1^-}\left(\log{\left(x \right)} \tan{\left(x \right)}\right) = 0
More at x→1 from the left
lim⁡x→1+(log⁡(x)tan⁡(x))=0\lim_{x \to 1^+}\left(\log{\left(x \right)} \tan{\left(x \right)}\right) = 0
More at x→1 from the right
lim⁡x→−∞(log⁡(x)tan⁡(x))\lim_{x \to -\infty}\left(\log{\left(x \right)} \tan{\left(x \right)}\right)
More at x→-oo
Numerical answer [src] 
-0.00180426482816838
-0.00180426482816838
The graph
Limit of the function log(x)*tan(x)
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