Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of cot(x)/(pi-2*x)
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Limit of csc(x)
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Limit of sin(1/z)
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Limit of 8/x
- Integral of d{x}:
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csc(x)
- Graphing y =:
- csc(x)
- Derivative of:
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csc(x)
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Identical expressions
- csc(x)
- cscx
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Similar expressions
- cosec(x)
- cosecx
Limit of the function csc(x)
The solution
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[src]
lim csc(x) x->pi+
$$\lim_{x \to \pi^+} \csc{\left(x \right)}$$
Limit(csc(x), x, pi)
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
$$\lim_{x \to \pi^-} \csc{\left(x \right)} = -\infty$$
More at x→pi from the left
$$\lim_{x \to \pi^+} \csc{\left(x \right)} = -\infty$$
$$\lim_{x \to \infty} \csc{\left(x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-} \csc{\left(x \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \csc{\left(x \right)} = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \csc{\left(x \right)} = \frac{1}{\sin{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \csc{\left(x \right)} = \frac{1}{\sin{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \csc{\left(x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
More at x→pi from the left
$$\lim_{x \to \pi^+} \csc{\left(x \right)} = -\infty$$
$$\lim_{x \to \infty} \csc{\left(x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-} \csc{\left(x \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \csc{\left(x \right)} = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \csc{\left(x \right)} = \frac{1}{\sin{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \csc{\left(x \right)} = \frac{1}{\sin{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \csc{\left(x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
One‐sided limits
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lim csc(x) x->pi+
$$\lim_{x \to \pi^+} \csc{\left(x \right)}$$
-oo
$$-\infty$$
= -151.00110375841
lim csc(x) x->pi-
$$\lim_{x \to \pi^-} \csc{\left(x \right)}$$
oo
$$\infty$$
= 151.001103758404
= 151.001103758404
The graph