Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((2+x)/(4+x))^cos(x)
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Limit of -5-2*x^2+8*x
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Limit of (-9+x^2)/(-27+x^3)
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Limit of 1+7*x+11*x^2/2
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Identical expressions
- cot(four *x)
- cotangent of (4 multiply by x)
- cotangent of (four multiply by x)
- cot(4x)
- cot4x
Limit of the function cot(4*x)
The solution
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lim cot(4*x) x->0+
$$\lim_{x \to 0^+} \cot{\left(4 x \right)}$$
Limit(cot(4*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(4*x) x->0+
$$\lim_{x \to 0^+} \cot{\left(4 x \right)}$$
oo
$$\infty$$
= 37.741169564815
lim cot(4*x) x->0-
$$\lim_{x \to 0^-} \cot{\left(4 x \right)}$$
-oo
$$-\infty$$
= -37.741169564815
= -37.741169564815
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \cot{\left(4 x \right)} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cot{\left(4 x \right)} = \infty$$
$$\lim_{x \to \infty} \cot{\left(4 x \right)} = \cot{\left(\infty \right)}$$
More at x→oo
$$\lim_{x \to 1^-} \cot{\left(4 x \right)} = \frac{1}{\tan{\left(4 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cot{\left(4 x \right)} = \frac{1}{\tan{\left(4 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cot{\left(4 x \right)} = - \cot{\left(\infty \right)}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \cot{\left(4 x \right)} = \infty$$
$$\lim_{x \to \infty} \cot{\left(4 x \right)} = \cot{\left(\infty \right)}$$
More at x→oo
$$\lim_{x \to 1^-} \cot{\left(4 x \right)} = \frac{1}{\tan{\left(4 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cot{\left(4 x \right)} = \frac{1}{\tan{\left(4 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cot{\left(4 x \right)} = - \cot{\left(\infty \right)}$$
More at x→-oo
The graph