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

Limit of the function x*tan(x)

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You have entered [src] 
 lim (x*tan(x))
x->0+
lim⁡x→0+(xtan⁡(x))\lim_{x \to 0^+}\left(x \tan{\left(x \right)}\right) 
Limit(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
02468-8-6-4-2-1010-250250
Plot the graph
Rapid solution [src] 
0
00
Expand and simplify
One‐sided limits [src] 
 lim (x*tan(x))
x->0+
lim⁡x→0+(xtan⁡(x))\lim_{x \to 0^+}\left(x \tan{\left(x \right)}\right) 
0
00 
= -2.71625989441904e-30
 lim (x*tan(x))
x->0-
lim⁡x→0−(xtan⁡(x))\lim_{x \to 0^-}\left(x \tan{\left(x \right)}\right) 
0
00 
= -2.71625989441904e-30
= -2.71625989441904e-30
Other limits x→0, -oo, +oo, 1
lim⁡x→0−(xtan⁡(x))=0\lim_{x \to 0^-}\left(x \tan{\left(x \right)}\right) = 0
More at x→0 from the left
lim⁡x→0+(xtan⁡(x))=0\lim_{x \to 0^+}\left(x \tan{\left(x \right)}\right) = 0
lim⁡x→∞(xtan⁡(x))\lim_{x \to \infty}\left(x \tan{\left(x \right)}\right)
More at x→oo
lim⁡x→1−(xtan⁡(x))=tan⁡(1)\lim_{x \to 1^-}\left(x \tan{\left(x \right)}\right) = \tan{\left(1 \right)}
More at x→1 from the left
lim⁡x→1+(xtan⁡(x))=tan⁡(1)\lim_{x \to 1^+}\left(x \tan{\left(x \right)}\right) = \tan{\left(1 \right)}
More at x→1 from the right
lim⁡x→−∞(xtan⁡(x))\lim_{x \to -\infty}\left(x \tan{\left(x \right)}\right)
More at x→-oo
Numerical answer [src] 
-2.71625989441904e-30
-2.71625989441904e-30
The graph
Limit of the function x*tan(x)
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