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)
- Derivative of:
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sin(9*x)
- Graphing y =:
- sin(9*x)
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Identical expressions
- sin(nine *x)
- sinus of (9 multiply by x)
- sinus of (nine multiply by x)
- sin(9x)
- sin9x
Limit of the function sin(9*x)
The solution
You have entered
[src]
lim sin(9*x) x->0+
$$\lim_{x \to 0^+} \sin{\left(9 x \right)}$$
Limit(sin(9*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
$$\lim_{x \to 0^-} \sin{\left(9 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(9 x \right)} = 0$$
$$\lim_{x \to \infty} \sin{\left(9 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sin{\left(9 x \right)} = \sin{\left(9 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(9 x \right)} = \sin{\left(9 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(9 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(9 x \right)} = 0$$
$$\lim_{x \to \infty} \sin{\left(9 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sin{\left(9 x \right)} = \sin{\left(9 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(9 x \right)} = \sin{\left(9 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(9 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
One‐sided limits
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lim sin(9*x) x->0+
$$\lim_{x \to 0^+} \sin{\left(9 x \right)}$$
0
$$0$$
= 2.11498364156912e-28
lim sin(9*x) x->0-
$$\lim_{x \to 0^-} \sin{\left(9 x \right)}$$
0
$$0$$
= -2.11498364156912e-28
= -2.11498364156912e-28
The graph