Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of sin(x)/x+tan(x)
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Limit of x*tan(2*x)/3
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Limit of x^2*tan(2*x)/2
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Limit of sqrt(n^2+2*n)-sqrt(3+n^2-2*n)
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Identical expressions
- x*tan(two *x)/ three
- x multiply by tangent of (2 multiply by x) divide by 3
- x multiply by tangent of (two multiply by x) divide by three
- xtan(2x)/3
- xtan2x/3
- x*tan(2*x) divide by 3
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Similar expressions
- 4/(x*tan(2*x/3))
Limit of the function x*tan(2*x)/3
The solution
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[src]
/x*tan(2*x)\ lim |----------| x->0+\ 3 /
$$\lim_{x \to 0^+}\left(\frac{x \tan{\left(2 x \right)}}{3}\right)$$
Limit((x*tan(2*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*tan(2*x)\ lim |----------| x->0+\ 3 /
$$\lim_{x \to 0^+}\left(\frac{x \tan{\left(2 x \right)}}{3}\right)$$
0
$$0$$
= -1.05411698488199e-28
/x*tan(2*x)\ lim |----------| x->0-\ 3 /
$$\lim_{x \to 0^-}\left(\frac{x \tan{\left(2 x \right)}}{3}\right)$$
0
$$0$$
= -1.05411698488199e-28
= -1.05411698488199e-28
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\frac{x \tan{\left(2 x \right)}}{3}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x \tan{\left(2 x \right)}}{3}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{x \tan{\left(2 x \right)}}{3}\right)$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{x \tan{\left(2 x \right)}}{3}\right) = \frac{\tan{\left(2 \right)}}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x \tan{\left(2 x \right)}}{3}\right) = \frac{\tan{\left(2 \right)}}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x \tan{\left(2 x \right)}}{3}\right)$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x \tan{\left(2 x \right)}}{3}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{x \tan{\left(2 x \right)}}{3}\right)$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{x \tan{\left(2 x \right)}}{3}\right) = \frac{\tan{\left(2 \right)}}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x \tan{\left(2 x \right)}}{3}\right) = \frac{\tan{\left(2 \right)}}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x \tan{\left(2 x \right)}}{3}\right)$$
More at x→-oo
The graph