Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of -cos(x)+5*x
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Limit of (-30+x^2-x)/(125+x^3)
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Limit of sin(9*x)
- Limit of cot(pi*x)
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Identical expressions
- cot(pi*x)
- cotangent of ( Pi multiply by x)
- cot(pix)
- cotpix
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Similar expressions
- cot(pi*x/6)*log(3-x)
- -asin(-1+x)/cot(pi*x/2)
- pi*cot(pi*x/2)/x
Limit of the function cot(pi*x)
The solution
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[src]
lim cot(pi*x) x->1+
$$\lim_{x \to 1^+} \cot{\left(\pi x \right)}$$
Limit(cot(pi*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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-} \cot{\left(\pi x \right)} = \infty$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cot{\left(\pi x \right)} = \infty$$
$$\lim_{x \to \infty} \cot{\left(\pi x \right)} = \cot{\left(\infty \right)}$$
More at x→oo
$$\lim_{x \to 0^-} \cot{\left(\pi x \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cot{\left(\pi x \right)} = \infty$$
More at x→0 from the right
$$\lim_{x \to -\infty} \cot{\left(\pi x \right)} = - \cot{\left(\infty \right)}$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+} \cot{\left(\pi x \right)} = \infty$$
$$\lim_{x \to \infty} \cot{\left(\pi x \right)} = \cot{\left(\infty \right)}$$
More at x→oo
$$\lim_{x \to 0^-} \cot{\left(\pi x \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cot{\left(\pi x \right)} = \infty$$
More at x→0 from the right
$$\lim_{x \to -\infty} \cot{\left(\pi x \right)} = - \cot{\left(\infty \right)}$$
More at x→-oo
One‐sided limits
[src]
lim cot(pi*x) x->1+
$$\lim_{x \to 1^+} \cot{\left(\pi x \right)}$$
oo
$$\infty$$
= 48.0578575304964
lim cot(pi*x) x->1-
$$\lim_{x \to 1^-} \cot{\left(\pi x \right)}$$
-oo
$$-\infty$$
= -48.0578575304964
= -48.0578575304964