Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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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))
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Limit of exp(-x)*log(x)
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Identical expressions
- log(sin(x))/log(sin(two *x))
- logarithm of ( sinus of (x)) divide by logarithm of ( sinus of (2 multiply by x))
- logarithm of ( sinus of (x)) divide by logarithm of ( sinus of (two multiply by x))
- log(sin(x))/log(sin(2x))
- logsinx/logsin2x
- log(sin(x)) divide by log(sin(2*x))
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Similar expressions
- log(sinx)/log(sin(2*x))
Limit of the function log(sin(x))/log(sin(2*x))
The solution
You have entered
[src]
/ log(sin(x)) \ lim |-------------| x->0+\log(sin(2*x))/
$$\lim_{x \to 0^+}\left(\frac{\log{\left(\sin{\left(x \right)} \right)}}{\log{\left(\sin{\left(2 x \right)} \right)}}\right)$$
Limit(log(sin(x))/log(sin(2*x)), x, 0)
The graph
One‐sided limits
[src]
/ log(sin(x)) \ lim |-------------| x->0+\log(sin(2*x))/
$$\lim_{x \to 0^+}\left(\frac{\log{\left(\sin{\left(x \right)} \right)}}{\log{\left(\sin{\left(2 x \right)} \right)}}\right)$$
1
$$1$$
= 1.08750537843486
/ log(sin(x)) \ lim |-------------| x->0-\log(sin(2*x))/
$$\lim_{x \to 0^-}\left(\frac{\log{\left(\sin{\left(x \right)} \right)}}{\log{\left(\sin{\left(2 x \right)} \right)}}\right)$$
1
$$1$$
= (1.07464095455102 + 0.0305228397035142j)
= (1.07464095455102 + 0.0305228397035142j)
The graph