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- 函数极限:
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极限 sin(x)/x+tan(x)
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极限 -6+x^2+9*x/2
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极限 x^2*sin(x^(-3))
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极限 16-16*x-13*x^2/3
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等价表达式
- cot(- one +x)^(- one +x)
- 余切 ( 减 1 加 x) 的幂 ( 减 1 加 x)
- 余切 ( 减 one 加 x) 的幂 ( 减 one 加 x)
- cot(-1+x)(-1+x)
- cot-1+x-1+x
- cot-1+x^-1+x
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相似表达式
- cot(-1+x)^(1+x)
- cot(1+x)^(-1+x)
- cot(-1-x)^(-1+x)
- cot(-1+x)^(-1-x)
函数极限 cot(-1+x)^(-1+x)
解答
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[src]
-1 + x lim cot (-1 + x) x->1+
$$\lim_{x \to 1^+} \cot^{x - 1}{\left(x - 1 \right)}$$
Limit(cot(-1 + x)^(-1 + x), x, 1)
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]
-1 + x lim cot (-1 + x) x->1+
$$\lim_{x \to 1^+} \cot^{x - 1}{\left(x - 1 \right)}$$
1
$$1$$
= 1.0018946609205
-1 + x lim cot (-1 + x) x->1-
$$\lim_{x \to 1^-} \cot^{x - 1}{\left(x - 1 \right)}$$
1
$$1$$
= (0.998098389971421 - 0.000758147498535553j)
= (0.998098389971421 - 0.000758147498535553j)
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-} \cot^{x - 1}{\left(x - 1 \right)} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cot^{x - 1}{\left(x - 1 \right)} = 1$$
$$\lim_{x \to \infty} \cot^{x - 1}{\left(x - 1 \right)}$$
More at x→oo
$$\lim_{x \to 0^-} \cot^{x - 1}{\left(x - 1 \right)} = - \tan{\left(1 \right)}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cot^{x - 1}{\left(x - 1 \right)} = - \tan{\left(1 \right)}$$
More at x→0 from the right
$$\lim_{x \to -\infty} \cot^{x - 1}{\left(x - 1 \right)}$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+} \cot^{x - 1}{\left(x - 1 \right)} = 1$$
$$\lim_{x \to \infty} \cot^{x - 1}{\left(x - 1 \right)}$$
More at x→oo
$$\lim_{x \to 0^-} \cot^{x - 1}{\left(x - 1 \right)} = - \tan{\left(1 \right)}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cot^{x - 1}{\left(x - 1 \right)} = - \tan{\left(1 \right)}$$
More at x→0 from the right
$$\lim_{x \to -\infty} \cot^{x - 1}{\left(x - 1 \right)}$$
More at x→-oo
图像