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tan(3*x)/tan(5*x)
Limit of the function/ tan(3*x)/tan(5*x)

Limit of the function tan(3*x)/tan(5*x)

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You have entered [src] 
      /tan(3*x)\
 lim  |--------|
   pi \tan(5*x)/
x->--+          
   2
lim⁡x→π2+(tan⁡(3x)tan⁡(5x))\lim_{x \to \frac{\pi}{2}^+}\left(\frac{\tan{\left(3 x \right)}}{\tan{\left(5 x \right)}}\right) 
Limit(tan(3*x)/tan(5*x), x, pi/2)
The graph
-3.0-2.5-2.0-1.5-1.0-0.50.00.51.01.52.02.53.0-100100
Plot the graph
Rapid solution [src] 
5/3
53\frac{5}{3}
Expand and simplify
One‐sided limits [src] 
      /tan(3*x)\
 lim  |--------|
   pi \tan(5*x)/
x->--+          
   2
lim⁡x→π2+(tan⁡(3x)tan⁡(5x))\lim_{x \to \frac{\pi}{2}^+}\left(\frac{\tan{\left(3 x \right)}}{\tan{\left(5 x \right)}}\right) 
5/3
53\frac{5}{3} 
= 1.66666666666667
      /tan(3*x)\
 lim  |--------|
   pi \tan(5*x)/
x->---          
   2
lim⁡x→π2−(tan⁡(3x)tan⁡(5x))\lim_{x \to \frac{\pi}{2}^-}\left(\frac{\tan{\left(3 x \right)}}{\tan{\left(5 x \right)}}\right) 
5/3
53\frac{5}{3} 
= 1.66666666666667
= 1.66666666666667
Numerical answer [src] 
1.66666666666667
1.66666666666667
The graph
Limit of the function tan(3*x)/tan(5*x)
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