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pi*x/2
Limit of the function/ pi*x/2

Limit of the function pi*x/2

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The solution

You have entered [src] 
      /pi*x\
 lim  |----|
   pi \ 2  /
x->--+      
   2
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{\pi x}{2}\right)$$ 
Limit((pi*x)/2, 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
Plot the graph
One‐sided limits [src] 
      /pi*x\
 lim  |----|
   pi \ 2  /
x->--+      
   2
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{\pi x}{2}\right)$$ 
  2
pi 
---
 4
$$\frac{\pi^{2}}{4}$$ 
= 2.46740110027234
      /pi*x\
 lim  |----|
   pi \ 2  /
x->---      
   2
$$\lim_{x \to \frac{\pi}{2}^-}\left(\frac{\pi x}{2}\right)$$ 
  2
pi 
---
 4
$$\frac{\pi^{2}}{4}$$ 
= 2.46740110027234
= 2.46740110027234
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \frac{\pi}{2}^-}\left(\frac{\pi x}{2}\right) = \frac{\pi^{2}}{4}$$
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{\pi x}{2}\right) = \frac{\pi^{2}}{4}$$
$$\lim_{x \to \infty}\left(\frac{\pi x}{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{\pi x}{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\pi x}{2}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\pi x}{2}\right) = \frac{\pi}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\pi x}{2}\right) = \frac{\pi}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\pi x}{2}\right) = -\infty$$
More at x→-oo
Rapid solution [src] 
  2
pi 
---
 4
$$\frac{\pi^{2}}{4}$$
Expand and simplify
Numerical answer [src] 
2.46740110027234
2.46740110027234
The graph
Limit of the function pi*x/2
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