Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 10+x^2+3*x^3+8*x
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Limit of (-2+sqrt(x))/(-4+x^2)
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Limit of x+2*x^3+5*x^4-x^2/3
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Limit of (-x^3+2*x+5*x^4)/(1+x^4-8*x^3)
- Graphing y =:
- x/sin(x)^2
- Integral of d{x}:
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x/sin(x)^2
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Identical expressions
- x/sin(x)^ two
- x divide by sinus of (x) squared
- x divide by sinus of (x) to the power of two
- x/sin(x)2
- x/sinx2
- x/sin(x)²
- x/sin(x) to the power of 2
- x/sinx^2
- x divide by sin(x)^2
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Similar expressions
- 1-cos(2*x)/sin(x)^2
- cos(x)/sin(x)^2
- (e^x-x-cos(x))/sin(x)^2
- (1-cos(3*x))/sin(x)^2
- x/sinx^2
Limit of the function x/sin(x)^2
The solution
You have entered
[src]
/ x \
lim |-------|
x->pi+| 2 |
\sin (x)/
$$\lim_{x \to \pi^+}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right)$$
Limit(x/sin(x)^2, 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
One‐sided limits
[src]
/ x \
lim |-------|
x->pi+| 2 |
\sin (x)/
$$\lim_{x \to \pi^+}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right)$$
oo
$$\infty$$
= 71783.5035087652108975115791085321685217564063417254557650672351836769506898
/ x \
lim |-------|
x->pi-| 2 |
\sin (x)/
$$\lim_{x \to \pi^-}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right)$$
oo
$$\infty$$
= 71481.4990937101481487033467619003575647984048375506280605409623590133421800
= 71481.4990937101481487033467619003575647984048375506280605409623590133421800
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \pi^-}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right) = \infty$$
More at x→pi from the left
$$\lim_{x \to \pi^+}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right)$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right) = \frac{1}{\sin^{2}{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right) = \frac{1}{\sin^{2}{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right)$$
More at x→-oo
More at x→pi from the left
$$\lim_{x \to \pi^+}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right)$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right) = \frac{1}{\sin^{2}{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right) = \frac{1}{\sin^{2}{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x}{\sin^{2}{\left(x \right)}}\right)$$
More at x→-oo
Numerical answer
[src]
71783.5035087652108975115791085321685217564063417254557650672351836769506898
71783.5035087652108975115791085321685217564063417254557650672351836769506898
The graph