Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2*x^2+4*x^3+5*x)/(3*x^2+7*x)
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Limit of (-cos(5*x)+cos(3*x))/x^2
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Limit of (-1+cos(7*x))/(-1+cos(3*x))
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Limit of (16+x^2+10*x)/(-6+x^2-x)
- Derivative of:
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tan(3*x)^2
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Identical expressions
- tan(three *x)^ two
- tangent of (3 multiply by x) squared
- tangent of (three multiply by x) to the power of two
- tan(3*x)2
- tan3*x2
- tan(3*x)²
- tan(3*x) to the power of 2
- tan(3x)^2
- tan(3x)2
- tan3x2
- tan3x^2
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Similar expressions
- x*sin(6*x)/atan(3*x^2)
- tan(3*x)^2/x^2
- x*sin(5*x)/tan(3*x)^2
Limit of the function tan(3*x)^2
The solution
You have entered
[src]
2 lim tan (3*x) x->0+
$$\lim_{x \to 0^+} \tan^{2}{\left(3 x \right)}$$
Limit(tan(3*x)^2, 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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \tan^{2}{\left(3 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tan^{2}{\left(3 x \right)} = 0$$
$$\lim_{x \to \infty} \tan^{2}{\left(3 x \right)} = \left\langle 0, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \tan^{2}{\left(3 x \right)} = \tan^{2}{\left(3 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan^{2}{\left(3 x \right)} = \tan^{2}{\left(3 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan^{2}{\left(3 x \right)} = \left\langle 0, \infty\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \tan^{2}{\left(3 x \right)} = 0$$
$$\lim_{x \to \infty} \tan^{2}{\left(3 x \right)} = \left\langle 0, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \tan^{2}{\left(3 x \right)} = \tan^{2}{\left(3 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan^{2}{\left(3 x \right)} = \tan^{2}{\left(3 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan^{2}{\left(3 x \right)} = \left\langle 0, \infty\right\rangle$$
More at x→-oo
One‐sided limits
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2 lim tan (3*x) x->0+
$$\lim_{x \to 0^+} \tan^{2}{\left(3 x \right)}$$
0
$$0$$
= -1.52383419835679e-32
2 lim tan (3*x) x->0-
$$\lim_{x \to 0^-} \tan^{2}{\left(3 x \right)}$$
0
$$0$$
= -1.52383419835679e-32
= -1.52383419835679e-32
The graph