Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2*sin(2*x)+sin(4*x))/(x*log(cos(6*x)))
- Limit of i*n*(1+x)/x
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Limit of (e^(2*x))^(1/log(1-2*x^2))
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Limit of (-1-x+5*x^2)/(2+3*x^2)
- Sum of series:
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1/i
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Identical expressions
- one /i
- 1 divide by i
- one divide by i
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Similar expressions
- 1/x-1/(i*n*(1+x))
- 1/(i*n)
Limit of the function 1/i
The solution
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1 lim - x->ooI
$$\lim_{x \to \infty} \frac{1}{i}$$
Limit(1/i, x, oo, dir='-')
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
$$\lim_{x \to \infty} \frac{1}{i} = - i$$
$$\lim_{x \to 0^-} \frac{1}{i} = - i$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{i} = - i$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{i} = - i$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{i} = - i$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{i} = - i$$
More at x→-oo
$$\lim_{x \to 0^-} \frac{1}{i} = - i$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{i} = - i$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{i} = - i$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{i} = - i$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{i} = - i$$
More at x→-oo
The graph