Mister Exam
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How to use it?
- Limit of the function:
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Limit of (3+2*n)/|-1+2*n|
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Limit of (3+x^2-4*x)/(-9+x^2)
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Limit of (x^2-3*x)/(-8+x^2)
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Limit of (1+5*x)*(-1+5*x)
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Identical expressions
- tan(x/ three)
- tangent of (x divide by 3)
- tangent of (x divide by three)
- tanx/3
- tan(x divide by 3)
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Similar expressions
- atan(x)/3
- atan(x)/(3*x)
Limit of the function tan(x/3)
The solution
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[src]
/x\ lim tan|-| x->0+ \3/
$$\lim_{x \to 0^+} \tan{\left(\frac{x}{3} \right)}$$
Limit(tan(x/3), x, 0)
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|-| x->0+ \3/
$$\lim_{x \to 0^+} \tan{\left(\frac{x}{3} \right)}$$
0
$$0$$
= 1.19800646096564e-32
/x\ lim tan|-| x->0- \3/
$$\lim_{x \to 0^-} \tan{\left(\frac{x}{3} \right)}$$
0
$$0$$
= -1.19800646096564e-32
= -1.19800646096564e-32
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \tan{\left(\frac{x}{3} \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tan{\left(\frac{x}{3} \right)} = 0$$
$$\lim_{x \to \infty} \tan{\left(\frac{x}{3} \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \tan{\left(\frac{x}{3} \right)} = \tan{\left(\frac{1}{3} \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan{\left(\frac{x}{3} \right)} = \tan{\left(\frac{1}{3} \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan{\left(\frac{x}{3} \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \tan{\left(\frac{x}{3} \right)} = 0$$
$$\lim_{x \to \infty} \tan{\left(\frac{x}{3} \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \tan{\left(\frac{x}{3} \right)} = \tan{\left(\frac{1}{3} \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan{\left(\frac{x}{3} \right)} = \tan{\left(\frac{1}{3} \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan{\left(\frac{x}{3} \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
The graph