Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (cos(x)+sin(x))^(1/x)
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Limit of (2/3)^x
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Limit of (3^n+4^n)/(3^(1+n)+4^(1+n))
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Limit of (1+n)*(4+n)/(n*(3+n))
- Graphing y =:
- 1-cos(x)
- Derivative of:
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1-cos(x)
- Integral of d{x}:
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1-cos(x)
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Identical expressions
- one -cos(x)
- 1 minus co sinus of e of (x)
- one minus co sinus of e of (x)
- 1-cosx
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Similar expressions
- 1+cos(x)
- 1-cosx
Limit of the function 1-cos(x)
The solution
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[src]
lim (1 - cos(x)) x->0+
$$\lim_{x \to 0^+}\left(1 - \cos{\left(x \right)}\right)$$
Limit(1 - cos(x), 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
$$\lim_{x \to 0^-}\left(1 - \cos{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(1 - \cos{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(1 - \cos{\left(x \right)}\right) = \left\langle 0, 2\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-}\left(1 - \cos{\left(x \right)}\right) = 1 - \cos{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(1 - \cos{\left(x \right)}\right) = 1 - \cos{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(1 - \cos{\left(x \right)}\right) = \left\langle 0, 2\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(1 - \cos{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(1 - \cos{\left(x \right)}\right) = \left\langle 0, 2\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-}\left(1 - \cos{\left(x \right)}\right) = 1 - \cos{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(1 - \cos{\left(x \right)}\right) = 1 - \cos{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(1 - \cos{\left(x \right)}\right) = \left\langle 0, 2\right\rangle$$
More at x→-oo
One‐sided limits
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lim (1 - cos(x)) x->0+
$$\lim_{x \to 0^+}\left(1 - \cos{\left(x \right)}\right)$$
0
$$0$$
= 1.52456005578576e-32
lim (1 - cos(x)) x->0-
$$\lim_{x \to 0^-}\left(1 - \cos{\left(x \right)}\right)$$
0
$$0$$
= 1.52456005578576e-32
= 1.52456005578576e-32
The graph