Mister Exam

Other calculators:

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

Limit of the function tan(x)

at →
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 lim  tan(x)
   pi       
x->--+      
   2
lim⁡x→π2+tan⁡(x)\lim_{x \to \frac{\pi}{2}^+} \tan{\left(x \right)} 
Limit(tan(x), x, pi/2)
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
-3.0-2.5-2.0-1.5-1.0-0.50.00.51.01.52.02.53.0-250250
Plot the graph
Rapid solution [src] 
-oo
−∞-\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→π2−tan⁡(x)=−∞\lim_{x \to \frac{\pi}{2}^-} \tan{\left(x \right)} = -\infty
More at x→pi/2 from the left
lim⁡x→π2+tan⁡(x)=−∞\lim_{x \to \frac{\pi}{2}^+} \tan{\left(x \right)} = -\infty
lim⁡x→∞tan⁡(x)=⟨−∞,∞⟩\lim_{x \to \infty} \tan{\left(x \right)} = \left\langle -\infty, \infty\right\rangle
More at x→oo
lim⁡x→0−tan⁡(x)=0\lim_{x \to 0^-} \tan{\left(x \right)} = 0
More at x→0 from the left
lim⁡x→0+tan⁡(x)=0\lim_{x \to 0^+} \tan{\left(x \right)} = 0
More at x→0 from the right
lim⁡x→1−tan⁡(x)=tan⁡(1)\lim_{x \to 1^-} \tan{\left(x \right)} = \tan{\left(1 \right)}
More at x→1 from the left
lim⁡x→1+tan⁡(x)=tan⁡(1)\lim_{x \to 1^+} \tan{\left(x \right)} = \tan{\left(1 \right)}
More at x→1 from the right
lim⁡x→−∞tan⁡(x)=⟨−∞,∞⟩\lim_{x \to -\infty} \tan{\left(x \right)} = \left\langle -\infty, \infty\right\rangle
More at x→-oo
One‐sided limits [src] 
 lim  tan(x)
   pi       
x->--+      
   2
lim⁡x→π2+tan⁡(x)\lim_{x \to \frac{\pi}{2}^+} \tan{\left(x \right)} 
-oo
−∞-\infty 
= -150.997792488028
 lim  tan(x)
   pi       
x->---      
   2
lim⁡x→π2−tan⁡(x)\lim_{x \to \frac{\pi}{2}^-} \tan{\left(x \right)} 
oo
∞\infty 
= 150.997792488025
= 150.997792488025
Numerical answer [src] 
-150.997792488028
-150.997792488028
The graph
Limit of the function tan(x)
    © Mister Exam – Calculator