Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-4*x)^(1/x)
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Limit of (-16+x^2+6*x)/(-2-5*x+3*x^2)
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Limit of (1+x)^(2/3)-(-1+x)^(2/3)
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Limit of 1/3+x/3
- Derivative of:
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sin(2*x)^2
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Identical expressions
- sin(two *x)^ two
- sinus of (2 multiply by x) squared
- sinus of (two multiply by x) to the power of two
- sin(2*x)2
- sin2*x2
- sin(2*x)²
- sin(2*x) to the power of 2
- sin(2x)^2
- sin(2x)2
- sin2x2
- sin2x^2
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Similar expressions
- x^3*cot(4*x)/sin(2*x)^2
Limit of the function sin(2*x)^2
The solution
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[src]
2 lim sin (2*x) x->0+
$$\lim_{x \to 0^+} \sin^{2}{\left(2 x \right)}$$
Limit(sin(2*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
$$\lim_{x \to 0^-} \sin^{2}{\left(2 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sin^{2}{\left(2 x \right)} = 0$$
$$\lim_{x \to \infty} \sin^{2}{\left(2 x \right)} = \left\langle 0, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sin^{2}{\left(2 x \right)} = \sin^{2}{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin^{2}{\left(2 x \right)} = \sin^{2}{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin^{2}{\left(2 x \right)} = \left\langle 0, 1\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sin^{2}{\left(2 x \right)} = 0$$
$$\lim_{x \to \infty} \sin^{2}{\left(2 x \right)} = \left\langle 0, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sin^{2}{\left(2 x \right)} = \sin^{2}{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin^{2}{\left(2 x \right)} = \sin^{2}{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin^{2}{\left(2 x \right)} = \left\langle 0, 1\right\rangle$$
More at x→-oo
One‐sided limits
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2 lim sin (2*x) x->0+
$$\lim_{x \to 0^+} \sin^{2}{\left(2 x \right)}$$
0
$$0$$
= -4.09486924217481e-30
2 lim sin (2*x) x->0-
$$\lim_{x \to 0^-} \sin^{2}{\left(2 x \right)}$$
0
$$0$$
= -4.09486924217481e-30
= -4.09486924217481e-30
The graph