Mister Exam
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How to use it?
- Limit of the function:
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Limit of ((1+2*x)/(-1+3*x))^(-1+x)
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Limit of (1-cos(x))^x
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Limit of 1/(2*x^2)
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Limit of x^4
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Identical expressions
- (one -cos(x))^x
- (1 minus co sinus of e of (x)) to the power of x
- (one minus co sinus of e of (x)) to the power of x
- (1-cos(x))x
- 1-cosxx
- 1-cosx^x
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Similar expressions
- (1+cos(x))^x
- (1-cosx)^x
Limit of the function (1-cos(x))^x
The solution
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[src]
x lim (1 - cos(x)) x->0+
$$\lim_{x \to 0^+} \left(1 - \cos{\left(x \right)}\right)^{x}$$
Limit((1 - cos(x))^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
One‐sided limits
[src]
x lim (1 - cos(x)) x->0+
$$\lim_{x \to 0^+} \left(1 - \cos{\left(x \right)}\right)^{x}$$
1
$$1$$
= 0.9960332343068
x lim (1 - cos(x)) x->0-
$$\lim_{x \to 0^-} \left(1 - \cos{\left(x \right)}\right)^{x}$$
1
$$1$$
= 1.00407235657689
= 1.00407235657689
The graph