Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
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Limit of (-tan(2*x)+sin(2*x))/x^3
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Limit of 3/n^4
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Limit of (1-cos(x)^2)/(x^2*sin(x)^2)
- Integral of d{x}:
- 1/sin(x)
- Graphing y =:
- 1/sin(x)
- Equation:
- 1/sin(x)
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Identical expressions
- one /sin(x)
- 1 divide by sinus of (x)
- one divide by sinus of (x)
- 1/sinx
- 1 divide by sin(x)
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Similar expressions
- (1-asin(x))^(1/sin(x/2))
- 1/sinx
Limit of the function 1/sin(x)
The solution
You have entered
[src]
1 lim ------ x->0+sin(x)
$$\lim_{x \to 0^+} \frac{1}{\sin{\left(x \right)}}$$
Limit(1/sin(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
$$\lim_{x \to 0^-} \frac{1}{\sin{\left(x \right)}} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\sin{\left(x \right)}} = \infty$$
$$\lim_{x \to \infty} \frac{1}{\sin{\left(x \right)}} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{\sin{\left(x \right)}} = \frac{1}{\sin{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\sin{\left(x \right)}} = \frac{1}{\sin{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{\sin{\left(x \right)}} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\sin{\left(x \right)}} = \infty$$
$$\lim_{x \to \infty} \frac{1}{\sin{\left(x \right)}} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{\sin{\left(x \right)}} = \frac{1}{\sin{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\sin{\left(x \right)}} = \frac{1}{\sin{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{\sin{\left(x \right)}} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
One‐sided limits
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1 lim ------ x->0+sin(x)
$$\lim_{x \to 0^+} \frac{1}{\sin{\left(x \right)}}$$
oo
$$\infty$$
= 151.001103758407
1 lim ------ x->0-sin(x)
$$\lim_{x \to 0^-} \frac{1}{\sin{\left(x \right)}}$$
-oo
$$-\infty$$
= -151.001103758407
= -151.001103758407
The graph