Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 7^(1/(-3+x))
-
Limit of (3-3*x^2+4*x^4+6*x^3)/(2*x^2+7*x^4)
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Limit of ((5+4*x)/(-1+5*x))^(1+3*x)
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Limit of (-6-x^2-3*x+4*x^3)/(3-x^2+2*x^3)
- Graphing y =:
- cos(2*x)^3
- Derivative of:
- cos(2*x)^3
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Identical expressions
- cos(two *x)^ three
- co sinus of e of (2 multiply by x) cubed
- co sinus of e of (two multiply by x) to the power of three
- cos(2*x)3
- cos2*x3
- cos(2*x)³
- cos(2*x) to the power of 3
- cos(2x)^3
- cos(2x)3
- cos2x3
- cos2x^3
Limit of the function cos(2*x)^3
The solution
You have entered
[src]
3 lim cos (2*x) x->0+
$$\lim_{x \to 0^+} \cos^{3}{\left(2 x \right)}$$
Limit(cos(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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \cos^{3}{\left(2 x \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cos^{3}{\left(2 x \right)} = 1$$
$$\lim_{x \to \infty} \cos^{3}{\left(2 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \cos^{3}{\left(2 x \right)} = \cos^{3}{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cos^{3}{\left(2 x \right)} = \cos^{3}{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cos^{3}{\left(2 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \cos^{3}{\left(2 x \right)} = 1$$
$$\lim_{x \to \infty} \cos^{3}{\left(2 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \cos^{3}{\left(2 x \right)} = \cos^{3}{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cos^{3}{\left(2 x \right)} = \cos^{3}{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cos^{3}{\left(2 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
One‐sided limits
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3 lim cos (2*x) x->0+
$$\lim_{x \to 0^+} \cos^{3}{\left(2 x \right)}$$
1
$$1$$
= 1.0
3 lim cos (2*x) x->0-
$$\lim_{x \to 0^-} \cos^{3}{\left(2 x \right)}$$
1
$$1$$
= 1.0
= 1.0
The graph