Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of sin(5*x)
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Limit of log(1+x)
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Limit of (x-3*x^2+4*x^3)/(2*x)
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Limit of log(sin(x))/log(sin(2*x))
- Derivative of:
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sin(2*x)
- Graphing y =:
- sin(2*x)
- Integral of d{x}:
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sin(2*x)
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Identical expressions
- sin(two *x)
- sinus of (2 multiply by x)
- sinus of (two multiply by x)
- sin(2x)
- sin2x
Limit of the function sin(2*x)
The solution
You have entered
[src]
lim sin(2*x) x->0+
$$\lim_{x \to 0^+} \sin{\left(2 x \right)}$$
Limit(sin(2*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
$$\lim_{x \to 0^-} \sin{\left(2 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(2 x \right)} = 0$$
$$\lim_{x \to \infty} \sin{\left(2 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sin{\left(2 x \right)} = \sin{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(2 x \right)} = \sin{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(2 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(2 x \right)} = 0$$
$$\lim_{x \to \infty} \sin{\left(2 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sin{\left(2 x \right)} = \sin{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(2 x \right)} = \sin{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(2 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
One‐sided limits
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lim sin(2*x) x->0+
$$\lim_{x \to 0^+} \sin{\left(2 x \right)}$$
0
$$0$$
= 2.03873400266658e-31
lim sin(2*x) x->0-
$$\lim_{x \to 0^-} \sin{\left(2 x \right)}$$
0
$$0$$
= -2.03873400266658e-31
= -2.03873400266658e-31
The graph