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 (-16+2^x)/(-1+5*sqrt(x)*(5-x))
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Limit of (-4+x^2)/(-3+sqrt(1-4*x))
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Limit of ((1+x)/(-2+x))^(3+x)
- Derivative of:
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sin(2)
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Identical expressions
- sin(two)
- sinus of (2)
- sinus of (two)
- sin2
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Similar expressions
- (e^(3*x^2)-cos(2*x))/(-log(1+2*x)+sin(2*x))
- asin(2*x)/(4*x)
- log(sin(3*x))/log(sin(2*x))
- tan(6*x)/sin(2*x)
- tan(7*x)/sin(2*x)
Limit of the function sin(2)
The solution
You have entered
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lim sin(2) x->0+
$$\lim_{x \to 0^+} \sin{\left(2 \right)}$$
Limit(sin(2), 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
$$\lim_{x \to 0^-} \sin{\left(2 \right)} = \sin{\left(2 \right)}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(2 \right)} = \sin{\left(2 \right)}$$
$$\lim_{x \to \infty} \sin{\left(2 \right)} = \sin{\left(2 \right)}$$
More at x→oo
$$\lim_{x \to 1^-} \sin{\left(2 \right)} = \sin{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(2 \right)} = \sin{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(2 \right)} = \sin{\left(2 \right)}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(2 \right)} = \sin{\left(2 \right)}$$
$$\lim_{x \to \infty} \sin{\left(2 \right)} = \sin{\left(2 \right)}$$
More at x→oo
$$\lim_{x \to 1^-} \sin{\left(2 \right)} = \sin{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(2 \right)} = \sin{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(2 \right)} = \sin{\left(2 \right)}$$
More at x→-oo
One‐sided limits
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lim sin(2) x->0+
$$\lim_{x \to 0^+} \sin{\left(2 \right)}$$
sin(2)
$$\sin{\left(2 \right)}$$
= 0.909297426825682
lim sin(2) x->0-
$$\lim_{x \to 0^-} \sin{\left(2 \right)}$$
sin(2)
$$\sin{\left(2 \right)}$$
= 0.909297426825682
= 0.909297426825682
The graph