Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (x/(1+2*x))^x
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Limit of (-6+x^2-x)/(9+x^2-6*x)
- Limit of tan(m*x)/sin(n*x)
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Limit of sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)
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Identical expressions
- pi*tan(x)/(two -x)
- Pi multiply by tangent of (x) divide by (2 minus x)
- Pi multiply by tangent of (x) divide by (two minus x)
- pitan(x)/(2-x)
- pitanx/2-x
- pi*tan(x) divide by (2-x)
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Similar expressions
- pi*tan(x)/(2+x)
Limit of the function pi*tan(x)/(2-x)
The solution
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[src]
/pi*tan(x)\ lim |---------| pi \ 2 - x / x->--+ 2
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right)$$
Limit(pi*tan(x)/(2 - 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
One‐sided limits
[src]
/pi*tan(x)\ lim |---------| pi \ 2 - x / x->--+ 2
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right)$$
-oo
$$-\infty$$
= -1122.56201708231
/pi*tan(x)\ lim |---------| pi \ 2 - x / x->--- 2
$$\lim_{x \to \frac{\pi}{2}^-}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right)$$
oo
$$\infty$$
= 1088.44664853291
= 1088.44664853291
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \frac{\pi}{2}^-}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right) = -\infty$$
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right) = -\infty$$
$$\lim_{x \to \infty}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right)$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right) = \pi \tan{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right) = \pi \tan{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right)$$
More at x→-oo
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right) = -\infty$$
$$\lim_{x \to \infty}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right)$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right) = \pi \tan{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right) = \pi \tan{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\pi \tan{\left(x \right)}}{2 - x}\right)$$
More at x→-oo
The graph