Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of tan(3*x)/tan(5*x)
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Limit of (-3*x+2*sqrt(x))/(-2*x+3*sqrt(x))
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Limit of cot(3*x)
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Limit of log(x+sqrt(1+x^2))
- Derivative of:
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cot(3*x)
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Identical expressions
- cot(three *x)
- cotangent of (3 multiply by x)
- cotangent of (three multiply by x)
- cot(3x)
- cot3x
Limit of the function cot(3*x)
The solution
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[src]
lim cot(3*x) x->0+
$$\lim_{x \to 0^+} \cot{\left(3 x \right)}$$
Limit(cot(3*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
$$\lim_{x \to 0^-} \cot{\left(3 x \right)} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cot{\left(3 x \right)} = \infty$$
$$\lim_{x \to \infty} \cot{\left(3 x \right)} = \cot{\left(\infty \right)}$$
More at x→oo
$$\lim_{x \to 1^-} \cot{\left(3 x \right)} = \frac{1}{\tan{\left(3 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cot{\left(3 x \right)} = \frac{1}{\tan{\left(3 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cot{\left(3 x \right)} = - \cot{\left(\infty \right)}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \cot{\left(3 x \right)} = \infty$$
$$\lim_{x \to \infty} \cot{\left(3 x \right)} = \cot{\left(\infty \right)}$$
More at x→oo
$$\lim_{x \to 1^-} \cot{\left(3 x \right)} = \frac{1}{\tan{\left(3 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cot{\left(3 x \right)} = \frac{1}{\tan{\left(3 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cot{\left(3 x \right)} = - \cot{\left(\infty \right)}$$
More at x→-oo
One‐sided limits
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lim cot(3*x) x->0+
$$\lim_{x \to 0^+} \cot{\left(3 x \right)}$$
oo
$$\infty$$
= 50.3267106425014
lim cot(3*x) x->0-
$$\lim_{x \to 0^-} \cot{\left(3 x \right)}$$
-oo
$$-\infty$$
= -50.3267106425014
= -50.3267106425014
The graph