Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+2*x)/(1-5*x)
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Limit of (1-2*cos(x))/sin(3*x)
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Limit of (-6+x^2-x)/(-21+x+2*x^2)
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Limit of ((4+x^2+5*x)/(7+x^2-3*x))^x
- Integral of d{x}:
- sqrt(cot(x))
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Identical expressions
- sqrt(cot(x))
- square root of ( cotangent of (x))
- √(cot(x))
- sqrtcotx
Limit of the function sqrt(cot(x))
The solution
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[src]
________ lim \/ cot(x) x->0+
$$\lim_{x \to 0^+} \sqrt{\cot{\left(x \right)}}$$
Limit(sqrt(cot(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
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________ lim \/ cot(x) x->0+
$$\lim_{x \to 0^+} \sqrt{\cot{\left(x \right)}}$$
oo
$$\infty$$
= 12.2881159047279
________ lim \/ cot(x) x->0-
$$\lim_{x \to 0^-} \sqrt{\cot{\left(x \right)}}$$
oo*I
$$\infty i$$
= (0.0 + 12.2881159047279j)
= (0.0 + 12.2881159047279j)
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \sqrt{\cot{\left(x \right)}} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{\cot{\left(x \right)}} = \infty$$
$$\lim_{x \to \infty} \sqrt{\cot{\left(x \right)}}$$
More at x→oo
$$\lim_{x \to 1^-} \sqrt{\cot{\left(x \right)}} = \frac{1}{\sqrt{\tan{\left(1 \right)}}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{\cot{\left(x \right)}} = \frac{1}{\sqrt{\tan{\left(1 \right)}}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{\cot{\left(x \right)}}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{\cot{\left(x \right)}} = \infty$$
$$\lim_{x \to \infty} \sqrt{\cot{\left(x \right)}}$$
More at x→oo
$$\lim_{x \to 1^-} \sqrt{\cot{\left(x \right)}} = \frac{1}{\sqrt{\tan{\left(1 \right)}}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{\cot{\left(x \right)}} = \frac{1}{\sqrt{\tan{\left(1 \right)}}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{\cot{\left(x \right)}}$$
More at x→-oo
The graph