Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of exp(2*x)
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Limit of 2*x^2
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Limit of e^(-x)/x
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Limit of x^3-2*x^2
- Graphing y =:
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tan(x/2)
- Integral of d{x}:
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tan(x/2)
- Derivative of:
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tan(x/2)
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Identical expressions
- tan(x/ two)
- tangent of (x divide by 2)
- tangent of (x divide by two)
- tanx/2
- tan(x divide by 2)
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Similar expressions
- pi*tan(x)/(2-x)
- (sin(x)+tan(x))/(2*x)
- x*(sin(x)/2+tan(x)/2)
Limit of the function tan(x/2)
The solution
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[src]
/x\ lim tan|-| pi \2/ x->--+ 2
$$\lim_{x \to \frac{\pi}{2}^+} \tan{\left(\frac{x}{2} \right)}$$
Limit(tan(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
One‐sided limits
[src]
/x\ lim tan|-| pi \2/ x->--+ 2
$$\lim_{x \to \frac{\pi}{2}^+} \tan{\left(\frac{x}{2} \right)}$$
1
$$1$$
= 1.0
/x\ lim tan|-| pi \2/ x->--- 2
$$\lim_{x \to \frac{\pi}{2}^-} \tan{\left(\frac{x}{2} \right)}$$
1
$$1$$
= 1.0
= 1.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \frac{\pi}{2}^-} \tan{\left(\frac{x}{2} \right)} = 1$$
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+} \tan{\left(\frac{x}{2} \right)} = 1$$
$$\lim_{x \to \infty} \tan{\left(\frac{x}{2} \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-} \tan{\left(\frac{x}{2} \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tan{\left(\frac{x}{2} \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \tan{\left(\frac{x}{2} \right)} = \tan{\left(\frac{1}{2} \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan{\left(\frac{x}{2} \right)} = \tan{\left(\frac{1}{2} \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan{\left(\frac{x}{2} \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+} \tan{\left(\frac{x}{2} \right)} = 1$$
$$\lim_{x \to \infty} \tan{\left(\frac{x}{2} \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-} \tan{\left(\frac{x}{2} \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tan{\left(\frac{x}{2} \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \tan{\left(\frac{x}{2} \right)} = \tan{\left(\frac{1}{2} \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan{\left(\frac{x}{2} \right)} = \tan{\left(\frac{1}{2} \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan{\left(\frac{x}{2} \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
The graph