Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of cos(x)^4
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Limit of ((1+2*x)^4-(-1+x)^4)/((1+2*x)^4+(-1+x)^4)
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Limit of sqrt(log(x))
- Limit of -7
- Graphing y =:
- cos(x)^4
- Canonical form:
- cos(x)^4
- Derivative of:
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cos(x)^4
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Identical expressions
- cos(x)^ four
- co sinus of e of (x) to the power of 4
- co sinus of e of (x) to the power of four
- cos(x)4
- cosx4
- cos(x)⁴
- cosx^4
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Similar expressions
- cosx^4
Limit of the function cos(x)^4
The solution
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4 lim cos (x) x->oo
$$\lim_{x \to \infty} \cos^{4}{\left(x \right)}$$
Limit(cos(x)^4, x, oo, dir='-')
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
$$\lim_{x \to \infty} \cos^{4}{\left(x \right)} = \left\langle 0, 1\right\rangle$$
$$\lim_{x \to 0^-} \cos^{4}{\left(x \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cos^{4}{\left(x \right)} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \cos^{4}{\left(x \right)} = \cos^{4}{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cos^{4}{\left(x \right)} = \cos^{4}{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cos^{4}{\left(x \right)} = \left\langle 0, 1\right\rangle$$
More at x→-oo
$$\lim_{x \to 0^-} \cos^{4}{\left(x \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cos^{4}{\left(x \right)} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \cos^{4}{\left(x \right)} = \cos^{4}{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cos^{4}{\left(x \right)} = \cos^{4}{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cos^{4}{\left(x \right)} = \left\langle 0, 1\right\rangle$$
More at x→-oo
The graph