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
- Integral of d{x}:
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cos(x)/x^2
- Derivative of:
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cos(x)/x^2
- Graphing y =:
- cos(x)/x^2
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Identical expressions
- cos(x)/x^ two
- co sinus of e of (x) divide by x squared
- co sinus of e of (x) divide by x to the power of two
- cos(x)/x2
- cosx/x2
- cos(x)/x²
- cos(x)/x to the power of 2
- cosx/x^2
- cos(x) divide by x^2
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Similar expressions
- (e^(x^2)-cos(x))/x^2
- 2*log(cos(x))/x^2
- cosx/x^2
Limit of the function cos(x)/x^2
The solution
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[src]
/cos(x)\
lim |------|
x->oo| 2 |
\ x /
$$\lim_{x \to \infty}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right)$$
Limit(cos(x)/x^2, 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
$$\lim_{x \to \infty}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = 0$$
$$\lim_{x \to 0^-}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = \cos{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = \cos{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = 0$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = \cos{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = \cos{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = 0$$
More at x→-oo
The graph